Question

Factorise using identities the following:
${x}^{2} + 5x + 6$
​

Answer 1

Step-by-step explanation:

$x {2} + 3x + 2x + 6$

x(x+3) +2(x+3)=0

= (x+3) (x+2)

$- 3 \: and - 4$

value of x

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Answer 2

Answer:

$\Huge {\color{navy}{\underline {\mathbf {\color{royalblue}{ANSWER}{\color{royalblue}{:-}}}}}}$

$\small \mathrm \color{black}{ {x}^{2} +5x + 6 }$

$\small \mathrm \color{black}{ = {x}^{2} + (3 + 2)x + 3 \times 2}$

$\small \mathrm \color{black}{we \: know \: appropriate \: identities}$

$\small \mathrm \color{royalblue}{ {x}^{2} + (a + b)x + ab = (x + a)(x + b) }$

$\small \mathrm \color{black}{Here \: a = 3 \: and \: b = 2}$

$\small \mathrm \color{black}{∴ {x}^{2} + (3 + 2)x + 3 \times 2 }$

$\small \mathrm \color{black}{(x + 3)(x + 2)}$

Step-by-step explanation: