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Popular >

expand (1+2x)^3

Solution

expand

(1 + 2 x)^{3}

Solution

1 + 6 x + 12 x^{2} + 8 x^{3}

Solution steps

(1 + 2 x)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(1 + 2 x)^{3} = 1^{3} + 3 \cdot 1^{2} \cdot 2 x + 3 \cdot 1 \cdot (2 x)^{2} + (2 x)^{3}

= 1^{3} + 3 \cdot 1^{2} \cdot 2 x + 3 \cdot 1 \cdot (2 x)^{2} + (2 x)^{3}

Simplify

1^{3} + 3 \cdot 1^{2} \cdot 2 x + 3 \cdot 1 \cdot (2 x)^{2} + (2 x)^{3} : 1 + 6 x + 12 x^{2} + 8 x^{3}

= 1 + 6 x + 12 x^{2} + 8 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (1+2x)^3 ?
The solution to expand (1+2x)^3 is 1+6x+12x^2+8x^3