Question

x²+4x+4 solve it by factorisation meathod ​

Answer 1

Answer:

x2 +2x + 2x +4

x (1+2) +2x(1+2)

Answer 2

Answer:

$\Large\boxed{\mathsf{\Rightarrow (x+2)^2}}}$

Step-by-step explanation:

TO FIND:

The factors of x²+4x+4.

TO SOLVE:

With perfect square formula and distributive property.

SOLUTIONS:

First, rewrite the equation problem.

$\displaystyle \mathsf{x^2+4x+4}}$

$\displaystyle \mathsf{2^2=2\times2=4}}$

$\displaystyle \mathsf{x^2+2^2x+2^2}}$

$\displaystyle \mathsf{2x*2=2^2}}$

$\displaystyle \mathsf{x^2+2x*2+2^2}}$

$\Rightarrow \displaystyle \mathsf{=x^2+2x*2+2^2}$

Use perfect square formula.

$\displaystyle \mathsf{PERFECT \quad SQUARE \quad FORMULA}$

$\Rightarrow \displaystyle \mathsf{(A+B)^2=A^2+2AB+B^2}$

$\displaystyle \mathsf{A=X}}\\\\\displaystyle \mathsf{B=2}}$

Solve.

$\Large\boxed{\mathsf{\Rightarrow (x+2)^2}}$

Therefore, the correct answer is (x+2)².