Fill in the blanks. (i) x 2 - 18 x + 81 = (…) (ii) 4 - 36x 2 = (…)(...) (iii)x 2 - 14x + 13 = (…)(…) (iv) 9z 2 - x 2 - 4y 2 + 4xy = (…)(…) (v) abc - ab - c + 1 = (…)(…)

Question

Fill in the blanks. (i) x 2 - 18 x + 81 = (&#x2026;) (ii) 4 - 36x 2 = (&#x2026;)(...) (iii)x 2 - 14x + 13 = (&#x2026;)(&#x2026;) (iv) 9z 2 - x 2 - 4y 2 + 4xy = (&#x2026;)(&#x2026;) (v) abc - ab - c + 1 = (&#x2026;)(&#x2026;)

Philoid · Accepted Answer

Using the identity : a² – b² = (a + b)(a-b)

(i) x² - 18x + 81 = x² - (9x) + 81 = (x - 9)(x - 9) = (x - 9)²

(ii) (4 - 36 x²) = 4(1 - 9x²) = 4(1 - 3x)(1 + 3x)

(iii) x² - 14x + 13 = x^(2)–(13 + 1)x + 13 = x(x - 13) - 1(x - 13) = (x - 13)(x - 1)

(iv) 9z² - x² - 4y² + 4xy = 9z² - (x - 2y)² = (3z - x + 2y)(3z + x - 2y)

(v)abc - ab - c + 1 = ab(c - 1) - (c - 1) = (ab - 1)(c - 1)

Fill in the blanks.(i) x2 - 18 x + 81 = (…)(ii) 4 - 36x2 = (…)(...)(iii)x2 - 14x + 13 = (…)(…)(iv) 9z2 - x2 - 4y2 + 4xy = (…)(…)(v) abc - ab - c + 1 = (…)(…)

Fill in the blanks.
(i) x² - 18 x + 81 = (…)

(ii) 4 - 36x² = (…)(...)

(iii)x² - 14x + 13 = (…)(…)

(iv) 9z² - x² - 4y² + 4xy = (…)(…)

(v) abc - ab - c + 1 = (…)(…)