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Popular >

expand (2r-5)^3

Solution

expand

(2 r - 5)^{3}

Solution

8 r^{3} - 60 r^{2} + 150 r - 125

Solution steps

(2 r - 5)^{3}

Apply Perfect Cube Formula:

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

(2 r - 5)^{3} = (2 r)^{3} - 3 (2 r)^{2} \cdot 5 + 3 \cdot 2 r \cdot 5^{2} - 5^{3}

= (2 r)^{3} - 3 (2 r)^{2} \cdot 5 + 3 \cdot 2 r \cdot 5^{2} - 5^{3}

Simplify

(2 r)^{3} - 3 (2 r)^{2} \cdot 5 + 3 \cdot 2 r \cdot 5^{2} - 5^{3} : 8 r^{3} - 60 r^{2} + 150 r - 125

= 8 r^{3} - 60 r^{2} + 150 r - 125

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Frequently Asked Questions (FAQ)

What is expand (2r-5)^3 ?
The solution to expand (2r-5)^3 is 8r^3-60r^2+150r-125