Question

(5x^2 + 20x + 20) by (x + 2)​

Answer 1

The simplified expression is 5(x+2)

Step-by-step explanation:

It has been given that $(5x^2+20x+20)by(x+2)$

Write in Mathematical form

$\frac{5x^2+20x+20}{x+2}$

Take 5 common in the numerator

$\frac{5(x^2+4x+4)}{x+2}$

Write the numerator in perfect square form

$\frac{5(x^2+2\cdot2\cdot x+2^2)}{x+2}\\\\=\frac{5(x+2)^2}{x+2}$

Cancel the common term from numerator and denominator

$5(x+2)$

Therefore, the simplified expression is 5(x+2)

#Learn More:

solve it by long division method

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Answer 2

Answer:

The answer is $5(x+2)$

Step-by-step explanation:

$\frac{5x^{2} +20x+20}{x+2}$

=$\frac{5(x^2+4x+4)}{x+2}$

=$\frac{5({x^2+2.x.2+2^2)}} {x+2}$

=$\frac{5(x+2)^2}{x+2}$

=$5(x+2)$