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Popular >

expand 2(3x+3)^2

Solution

expand

2 (3 x + 3)^{2}

Solution

18 x^{2} + 36 x + 18

Solution steps

2 (3 x + 3)^{2}

Expand

(3 x + 3)^{2} : 9 x^{2} + 18 x + 9

= 2 (9 x^{2} + 18 x + 9)

Apply the distributive law:

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

2 (9 x^{2} + 18 x + 9) = 2 \cdot 9 x^{2} + 2 \cdot 18 x + 2 \cdot 9

= 2 \cdot 9 x^{2} + 2 \cdot 18 x + 2 \cdot 9

Simplify

2 \cdot 9 x^{2} + 2 \cdot 18 x + 2 \cdot 9 : 18 x^{2} + 36 x + 18

= 18 x^{2} + 36 x + 18

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Frequently Asked Questions (FAQ)

What is expand 2(3x+3)^2 ?
The solution to expand 2(3x+3)^2 is 18x^2+36x+18