Question

x2+4x+4divide by[x+2]

Answer 1

Correct question:

Divide x²+4x+4 by (x+2).

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Solution:

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

First we will factorise the numerator.

In order to factorise the numerator, we will use the identity,

(a+b)² = a²+2ab+b²

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So,

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

$\implies \dfrac{(x + 2)^{2} }{(x + 2)}$

$\implies \dfrac{( x + 2)(x + 2)}{(x + 2)}$

Both (x+2) in numerator and denominator will be canceled out, and we will be left with,

$\bigstar {\sf {\pink {(x+2)}}}$

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Final answer:

$\boxed {\sf {\blue {The\ quotient\ of\ x²+4x+4\ divided\ by\ (x+2)\ is\ (x+2)}}}$