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Popular >

expand 3(x+2)^2

Solution

expand

3 (x + 2)^{2}

Solution

3 x^{2} + 12 x + 12

Solution steps

3 (x + 2)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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