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Popular >

expand 3(x+3)^2

Solution

expand

3 (x + 3)^{2}

Solution

3 x^{2} + 18 x + 27

Solution steps

3 (x + 3)^{2}

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= 3 (x^{2} + 6 x + 9)

Apply the distributive law:

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

3 (x^{2} + 6 x + 9) = 3 x^{2} + 3 \cdot 6 x + 3 \cdot 9

= 3 x^{2} + 3 \cdot 6 x + 3 \cdot 9

Simplify

3 x^{2} + 3 \cdot 6 x + 3 \cdot 9 : 3 x^{2} + 18 x + 27

= 3 x^{2} + 18 x + 27

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Frequently Asked Questions (FAQ)

What is expand 3(x+3)^2 ?
The solution to expand 3(x+3)^2 is 3x^2+18x+27