Question

X2+8x+16 factorise with identity​

Answer 1

Step-by-step explanation:

(x)^2+ 2 (x)(4)+ 4^2

So,

(x+4a)^2

Answer 2

Question:-

$\\ \sf{ {x}^{2} + 8x + 16 \: factorise \: with \: identity}$

Required Answer:-

Given Equation:-

$\\ \rightarrow{ \bf{ {x}^{2} + 8x + 16}}$

Identity Used:-

$\\ \bf{ \rightarrow{ {a}^{2} + 2ab + {b}^{2} = (a + b) {}^{2}} }$

♡Solution:-

$\\ \sf{ \bold{ {x}^{2} + 8x + 16}}$

$\\ \sf{ \implies{(x) {}^{2} + 2 \times x \times 4 + (4) {}^{2} }}$

$\\ \rm{Comparing \: this \: equation \: with \: {a}^{2} + 2ab + {b}^{2} \: we \: find}$

$\sf{ \bold{a} = x \: , \bold{b} = 4}$

Appling formula:-

$\\ \sf{(x + 4) {}^{2} }$

$\\ \sf{ \implies{ \red{(x + 4)(x + 4)}}}$

$\\ \underline{ \boxed{ \rm{ \green{Hence, \: the \: answer \: is \: \bold{(x + 4)(x + 4)}}}}}$