Solution of Chapter 9. Algebraic Expressions and Identities (NCERT - Mathematics Book)

Identify the terms, their coefficients for each of the following expressions.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

Add the following.

(i)

(ii)

(iii)

(iv)

Subtract from

Subtract from

Subtractfrom

Find the product of the following pairs of monomials.

(i)

(ii)

(iii)

(iv)

(v)

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.

Complete the table of products.

Obtain the volume of rectangular boxes with the following length, breadth and height respectively.

(i)

(ii)

(iii)

(iv)

Obtain the product of

(i)

(ii)

(iii)

(iv)

(v)

Carry out the multiplication of the expressions in each of the following pairs.

(i)

(ii)

(iii)

(iv)

(v)

Complete the table.

Find the product.

(i)

(ii)

(iii)

(iv)

Simplify and find its values for

(i)

(ii)

Simplify and find its value for

(i)

(ii)

(iii)

Add: and

Add: and

Subtract: from

Subtract: from

Multiply the binomials.

(i) and

(ii) and

(iii) and

(iv) and

(v) and

(vi) and

Find the product.

(i)

(ii)

(iii)

(iv)

Simplify.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Use a suitable identity to get each of the following products.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

Use the identity to find the following products.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Find the following squares by using the identities.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Simplify.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)(m² - n²m) ² + 2m³n²

(viii)

Show that.

(i)

(ii)

(iii)

(iv)

(v)

Using identities, evaluate.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

Using find

(i)

(ii)

(iii)

(iv)

Using find

(i) 1

(ii)

(iii)

(iv)