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Popular >

expand 2(2x+1)^2

Solution

expand

2 (2 x + 1)^{2}

Solution

8 x^{2} + 8 x + 2

Solution steps

2 (2 x + 1)^{2}

Expand

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= 2 (4 x^{2} + 4 x + 1)

Apply the distributive law:

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

2 (4 x^{2} + 4 x + 1) = 2 \cdot 4 x^{2} + 2 \cdot 4 x + 2 \cdot 1

= 2 \cdot 4 x^{2} + 2 \cdot 4 x + 2 \cdot 1

Simplify

2 \cdot 4 x^{2} + 2 \cdot 4 x + 2 \cdot 1 : 8 x^{2} + 8 x + 2

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

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Frequently Asked Questions (FAQ)

What is expand 2(2x+1)^2 ?
The solution to expand 2(2x+1)^2 is 8x^2+8x+2