Question

Factorise:
i. 2x^2 + 10x + 12
ii. y^2– 11y + 18
iii. a^2 – (b^2 + 2bc + c^2)

Answer 1

Answer:

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Answer :- 1

$2 {x}^{2} + 10x + 12 \\ \\ 2 {x}^{2} + 6x + 4x + 12 \\ \\ 2x(x + 3) + 4(x + 3) \\ \\ (x + 3)(2x + 4)$

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Answer :- 2

${y}^{2} - 11y + 18 \\ \\ {y}^{2} - 9y - 2y + 18 \\ \\ y(y - 9) - 2(y - 9) \\ \\ (y - 9)(y - 2)$

Answer :- 3

${a}^{2} - ( {b}^{2} + 2bc + {c}^{2} ) \\ \\ = {a}^{2} - {(b + c)}^{2} \\ \\ use \: identity \: \: \: {a}^{2} - {b}^{2} = (a - b)(a + b) \: we \: have \\ \\ = [ a - (b + c) ][ a + b + c] \\ \\ = (a - b - c)(a + b + c)$

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