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Popular >

expand (1-2r)^3

Solution

expand

(1 - 2 r)^{3}

Solution

1 - 6 r + 12 r^{2} - 8 r^{3}

Solution steps

(1 - 2 r)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 1 - 6 r + 12 r^{2} - 8 r^{3}

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Frequently Asked Questions (FAQ)

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