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Popular >

expand x(x+3)^2

Solution

expand

x (x + 3)^{2}

Solution

x^{3} + 6 x^{2} + 9 x

Solution steps

x (x + 3)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is expand x(x+3)^2 ?
The solution to expand x(x+3)^2 is x^3+6x^2+9x