Add:

8ab, -5ab, 3ab, -ab

Add:

7x, - 3x, 5x, – x, -2x

Add:

3a – 4b + 4c, 2a + 3b – 8c, a – 6b + c

Add:

5x – 8y + 2z, 3z – 4y – 2x, 6y – z – x and 3x – 2x – 3y

Add:

6ax – 2by + 3cz, 6by -11ax – cz and 10 cz -2ax – 3by

Add:

2x³ – 9x² + 8, 3x² – 6x – 5, 7x³ – 10x + 1 and 3 + 2x – 5x² – 4x³

Add:

6p + 4q – r + 3, 2r - 5p – 6, 11q - 7p + 2r – 1 and 2q – 3r + 4

Add:

4x² – 7xy + 4y² – 3, 5 + 6y² – 8xy + x² and 6 – 2xy + 2x² – 5y²

Subtract:

2a²b from – 5a²b

Subtract:

–8pq from 6pq

Subtract:

–2abc from –8abc

Subtract:

–16p from –11 p

Subtract:

2a – 5b + 2c – 9 from 3a – 4b – c + 6

Subtract:

–6p + q + 3r + 8 from p – 2q – 5r – 8

Subtract:

x³ + 3x² – 5x + 4 from 3x³ – x² + 2x – 4

Subtract:

5y⁴ – 3y³ + 2y² + y – 1 from 4y⁴ – 2y³ – 6y² – y + 5

Subtract:

4p² + 5q² – 6r² + 7 from 3p² – 4q² – 5r² – 6

What must be subtracted from 3a² – 6ab – 3b² – 1 to get 4a² – 7ab – 4ab² + 1?

The two adjacent sides of a rectangle are 5x² – 3y² and x² + 2xy. Find the perimeter.

The perimeter of triangle is 6p² – 4p + 9 and two of its sides are p² – 2p + 1 and 3p² – 5p + 3. Find the third side of the triangle.

Find each of the following products:

(5x + 7) × (3x + 4)

Find each of the following products:

(4x + 9) × (x – 6)

Find each of the following products:

(2x + 5) × (4x – 3)

Find each of the following products:

(3y – 8) × (5y – 1)

Find each of the following products:

(7x + 2y) × (x + 4y)

Find each of the following products:

(9x + 5y) × (4x + 3y)

Find each of the following products:

(3m – 4n) × (2m – 3n)

Find each of the following products:

(x² – a²) × (x – a)

Find each of the following products:

(x² – y²) × (x + 2y)

Find each of the following products:

(3p² + q²) × (2p² – 3q²)

Find each of the following products:

(2x² – 5y²) × (x² + 3y²)

Find each of the following products:

(x³ – y³) × (x² + y²)

Find each of the following products:

(x⁴ + y⁴) × (x² – y²)

Find each of the following products:

Find each of the following products:

(x² – 3x + 7) × (2x + 3)

Find each of the following products:

(3x² + 5x - 9) × (3x – 5)

Find each of the following products:

(x² – xy + y²) × (x + y)

Find each of the following products:

(x² + xy + y²) × (x – y)

Find each of the following products:

(x³ – 2x² + 5) × (4x - 1)

Find each of the following products:

(9x² – x + 15) × (x² – 3)

Find each of the following products:

(x² – 5x + 8) × (x² + 2)

Find each of the following products:

(x³ – 5x² + 3x + 1) × (x² – 3)

Find each of the following products:

(3x + 2y – 4) × (x – y + 2)

Find each of the following products:

(x² – 5x + 8) × (x² + 2x – 3)

Find each of the following products:

(2x² + 3x – 7) × (3x² – 5x + 4)

Find each of the following products:

(9x² – x + 15) × (x² – x – 1)

Divide:

(i) 24x²y³ by 3xy

(ii) 36xyz² by – 9xz

(iii) – 72x²y²z by– 12xyz

(iv) – 56mnp² by 7mnp

Divide:

(i) 5m³ – 30m² + 45m by 5m

(ii) 8x²y² – 6xy² + 10x²y³ by 2xy

(iii) 9x²y – 6xy + 12xy² by – 3xy

(iv) 12x⁴ + 8x³ – 6x² by – 2x²

Write the quotient and remainder when we divide:

(x² – 4x + 4) by (x – 2 )

Write the quotient and remainder when we divide:

(x² – 4) by (x + 2)

Write the quotient and remainder when we divide:

(x² + 12x + 35) by (x + 7)

Write the quotient and remainder when we divide:

(15x² + x – 6) by (3x + 2)

Write the quotient and remainder when we divide:

(14x² – 53x + 45) by (7x – 9)

Write the quotient and remainder when we divide:

(6x² – 31x + 47) by (2x – 5)

Write the quotient and remainder when we divide:

(2x³ + x² – 5x – 2) by (2x + 3)

Write the quotient and remainder when we divide:

(x³ + 1) by (x + 1)

Write the quotient and remainder when we divide:

(x⁴ – 2x³ + 2x² + x + 4) by (x² + x + 1)

Write the quotient and remainder when we divide:

(x³ – 6x² + 11x – 6) by (x² – 5x + 6)

Write the quotient and remainder when we divide:

(5x³ – 12x² + 12x + 13) by (x² – 3x + 4)

Write the quotient and remainder when we divide:

(2x³ – 5x² + 8x – 5) by (2x² – 3x + 5)

Write the quotient and remainder when we divide:

(8x⁴ + 10x³ – 5x² – 4x + 1) by (2x² – 3x + 5)

Find each of the following products:

(i) (x + 6)(x+6)

(ii) (4x + 5y)(4x + 5y)

(iii) (7a + 9b)(7a + 9b)

(iv)

(v) (x² + 7)(x² + 7)

(vi)

Find each of the following products:

(i) (x – 4)(x – 4)

(ii) (2x – 3y)(2x – 3y)

(iii)

(iv)

(v)

(vi)

Expand:

(i) (8a + 3b)² (ii) (7x + 2y)²

(iii) (5x + 11)² (iv)

(v) (vi) (9x – 10)²

(vii) (viii)

(ix)

Find each of the following products:

(i) (x + 3)(x – 3)

(ii) (2x + 5)(2x – 5)

(iii) (8 + x)(8 – x)

(iv) (7x + 11y)(7x – 11y)

(v)

(vi)

(vii)

(viii)

(ix)

Using the formula for squaring a binomial, evaluate the following:

(i) (54)² (ii) (82)²

(iii) (103)² (iv) (704)²

Using the formula for squaring a binomial, evaluate the following:

(i) (69)² (ii) (78)²

(iii) (197)² (iv) (999)²

Find the value of:

(i) (82)² – (18)²

(ii) (128)² – (72)²

(iii) 197 × 203

(iv)

(v) (14.7 × 15.3)

(vi)

Find the value of the expression (9x² + 24x + 16), when x = 12.

Find the value of the expression (64x² + 81y² + 144xy), when x = 11 and .

Find the value of the expression (36x² + 25y² – 60xy) when and

If find the values of

(i) (ii)

If find the value of

(i) (ii)

Find the continued product:

(i) (x +1)(x – 1)(x² + 1)

(ii) (x- 3)(x + 3)(x² + 9)

(iii) (3x – 2y)(3x + 2y)(9x² + 4y²)

(iv) (2p + 3)(2p – 3)(4p² + 9)

If x + y = 12 and xy = 14, find the value of (x² + y²).

If x – y = 7 and xy = 9, find the value of (x² + y²).

The sum of (6a + 4b – c + 3), (2b – 3c + 4), (11b – 7a + 2c - 1) and (2c – 5a - 6) is

(3q + 7p² – 2r³ + 4) – (4p² – 2q + 7r³ – 3) = ?

(x + 5) (x - 3) = ?

(2x + 3)(3x - 1) = ?

(x + 4)(x + 4) = ?

(x - 6)(x - 6) = ?

(2x + 5)(2x - 5) = ?

8a²b³ ÷ (- 2ab) = ?

(2x² + 3x + 1) ÷ (x + 1) = ?

(x² - 4x + 4) ÷ (x - 2) = ?

(a + 1)(a – 1)(a² + 1) = ?

If then

If then

(82)² – (18)² = ?

(197 × 203) = ?

If (a + b) = 12 and ab = 14, then (a² + b²) = ?

If (a - b) = 7 and ab = 9, then (a² + b²) = ?

If x = 10, then find the value of (4x² + 20x + 25).