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Popular >

expand 2(x+2)^2

Solution

expand

2 (x + 2)^{2}

Solution

2 x^{2} + 8 x + 8

Solution steps

2 (x + 2)^{2}

Expand

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

= 2 (x^{2} + 4 x + 4)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

2 (x^{2} + 4 x + 4) = 2 x^{2} + 2 \cdot 4 x + 2 \cdot 4

= 2 x^{2} + 2 \cdot 4 x + 2 \cdot 4

Simplify

2 x^{2} + 2 \cdot 4 x + 2 \cdot 4 : 2 x^{2} + 8 x + 8

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

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Frequently Asked Questions (FAQ)

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