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Popular >

expand 2(x+4)^2

Solution

expand

2 (x + 4)^{2}

Solution

2 x^{2} + 16 x + 32

Solution steps

2 (x + 4)^{2}

Expand

(x + 4)^{2} : x^{2} + 8 x + 16

= 2 (x^{2} + 8 x + 16)

Apply the distributive law:

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

2 (x^{2} + 8 x + 16) = 2 x^{2} + 2 \cdot 8 x + 2 \cdot 16

= 2 x^{2} + 2 \cdot 8 x + 2 \cdot 16

Simplify

2 x^{2} + 2 \cdot 8 x + 2 \cdot 16 : 2 x^{2} + 16 x + 32

= 2 x^{2} + 16 x + 32

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Frequently Asked Questions (FAQ)

What is expand 2(x+4)^2 ?
The solution to expand 2(x+4)^2 is 2x^2+16x+32