Question

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factorise the following expression ​

Answer 1

(vii)

$( {x}^{2} - 2xy + {y}^{2} ) - {z}^{2} \\ \\ {(x - y)}^{2} - {z}^{2} \\ \\ (x - y + z)(x - y - z)$

(viii)

$10ab + 4a + 5b + 2 \\ \\ 2a(5b + 2) + 1(5b + 2) \\ \\ (2a + 1)(5b + 2)$

(ix)

$6xy - 4y + 6 - 9x \\ \\ 6xy - 4y - 9x + 6 \\ \\ 2y(3x - 2) - 3(3x - 2) \\ \\ (3x - 2)(2y - 3)$

Using Formula

a²- 2ab +b² = (a - b)²

a²- 2ab +b² = (a - b)²a² - b² = (a + b)(a - b)