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Popular >

expand 4(x+2)^2

Solution

expand

4 (x + 2)^{2}

Solution

4 x^{2} + 16 x + 16

Solution steps

4 (x + 2)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

4 x^{2} + 4 \cdot 4 x + 4 \cdot 4 : 4 x^{2} + 16 x + 16

= 4 x^{2} + 16 x + 16

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Frequently Asked Questions (FAQ)

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