How do you factor $y = 4 x^{2} + 24 x + 36$ $y= 4x^2 + 24x + 36$ ?

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How do you factor $y = 4 x^{2} + 24 x + 36$ $y= 4x^2 + 24x + 36$ ?

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Answer 1 · 2018-04-28T14:58:00

$y = 4 {(x + 3)}^{2}$ $y=4(x+3)^2$

Explanation:

$take out a common factor 4$ $"take out a "color(blue)"common factor "4$

$= 4 (x^{2} + 6 x + 9)$ $=4(x^2+6x+9)$

$x^{2} + 6 x + 9 is a perfect square$ $x^2+6x+9" is a "color(blue)"perfect square"$

$note that {(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $"note that "(a+b)^2=a^2+2ab+b^2$

$with a = x and b = 3$ $"with "a=x" and "b=3$

$\Rightarrow x^{2} + 6 x + 9 = {(x + 3)}^{2}$ $rArrx^2+6x+9=(x+3)^2$

$\Rightarrow 4 x^{2} + 24 x + 36 = 4 {(x + 3)}^{2}$ $rArr4x^2+24x+36=4(x+3)^2$

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How do you factor $y = 4 x^{2} + 24 x + 36$ $y= 4x^2 + 24x + 36$ ?

1 Answer

Explanation:

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Humanities

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How do you factor y= 4x^2 + 24x + 36y=4x2+24x+36y= 4x^2 + 24x + 36?

1 Answer

Explanation:

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How do you factor $y = 4 x^{2} + 24 x + 36$ $y= 4x^2 + 24x + 36$ ?