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Popular >

expand 3(2x+1)^2

Solution

expand

3 (2 x + 1)^{2}

Solution

12 x^{2} + 12 x + 3

Solution steps

3 (2 x + 1)^{2}

Expand

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

= 3 (4 x^{2} + 4 x + 1)

Apply the distributive law:

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

3 (4 x^{2} + 4 x + 1) = 3 \cdot 4 x^{2} + 3 \cdot 4 x + 3 \cdot 1

= 3 \cdot 4 x^{2} + 3 \cdot 4 x + 3 \cdot 1

Simplify

3 \cdot 4 x^{2} + 3 \cdot 4 x + 3 \cdot 1 : 12 x^{2} + 12 x + 3

= 12 x^{2} + 12 x + 3

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Frequently Asked Questions (FAQ)

What is expand 3(2x+1)^2 ?
The solution to expand 3(2x+1)^2 is 12x^2+12x+3