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Popular >

factor (x-2)^2+8x

Solution

factor

(x - 2)^{2} + 8 x

Solution

(x + 2)^{2}

Solution steps

(x - 2)^{2} + 8 x

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + 8 x

Simplify

x^{2} - 4 x + 4 + 8 x : x^{2} + 4 x + 4

= x^{2} + 4 x + 4

Rewrite

x^{2} + 4 x + 4

as

x^{2} + 2 x \cdot 2 + 2^{2}

= x^{2} + 2 x \cdot 2 + 2^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = x, b = 2

= (x + 2)^{2}

Popular Examples

factor (2x)e^{-2x}-2x factor

(2 x) e^{- 2 x} - 2 x

roots a*b roots

a \cdot b

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2 \cdot \frac{5}{7}

factor x^{5-37x^{3+36x}}factor

x^{5 - 37 x^{3 + 36 x}}

factor 2(x+y)^2+7(x+y)+5 factor

2 (x + y)^{2} + 7 (x + y) + 5

Frequently Asked Questions (FAQ)

What is factor (x-2)^2+8x ?
The solution to factor (x-2)^2+8x is (x+2)^2