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Popular >

expand x(2x+1)^2

Solution

expand

x (2 x + 1)^{2}

Solution

4 x^{3} + 4 x^{2} + x

Solution steps

x (2 x + 1)^{2}

Expand

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= x (4 x^{2} + 4 x + 1)

Apply the distributive law:

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

x (4 x^{2} + 4 x + 1) = x \cdot 4 x^{2} + x \cdot 4 x + x \cdot 1

= x \cdot 4 x^{2} + x \cdot 4 x + x \cdot 1

Simplify

x \cdot 4 x^{2} + x \cdot 4 x + x \cdot 1 : 4 x^{3} + 4 x^{2} + x

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

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Frequently Asked Questions (FAQ)

What is expand x(2x+1)^2 ?
The solution to expand x(2x+1)^2 is 4x^3+4x^2+x