Question

I'd be grateful if you help me. ​

Answer 1

Answer:

$(a) \: x {}^{2} - 7x + 12$

$= {x}^{2} - 3x - 4x + 12$

$= x(x - 3) - 4(x - 3)$

$= (x - 3)(x - 4)$

$(b) \: 4 {x}^{2} - 4x + 1$

$= 4 {x}^{2} - 2x - 2x + 1$

$= 2x(2x - 1) - 1(2x - 1)$

$= (2x - 1)(2x - 1)$

$(c) \: 2 {n}^{2} + 9n + 9$

$= 2 {n}^{2} + 6n + 3n + 9$

$= 2n(n + 3) + 3(n + 3)$

$= (n + 3)(2n + 3)$

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Answer 2