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Popular >

expand 3x(x+3)^2

Solution

expand

3 x (x + 3)^{2}

Solution

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

Solution steps

3 x (x + 3)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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