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Popular >

expand (60-x)^3

Solution

expand

(60 - x)^{3}

Solution

6 0^{3} - 10800 x + 180 x^{2} - x^{3}

Solution steps

(60 - x)^{3}

Apply Perfect Cube Formula:

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

(60 - x)^{3} = 6 0^{3} - 3 \cdot 6 0^{2} x + 3 \cdot 60 x^{2} - x^{3}

= 6 0^{3} - 3 \cdot 6 0^{2} x + 3 \cdot 60 x^{2} - x^{3}

Simplify

6 0^{3} - 3 \cdot 6 0^{2} x + 3 \cdot 60 x^{2} - x^{3} : 6 0^{3} - 10800 x + 180 x^{2} - x^{3}

= 6 0^{3} - 10800 x + 180 x^{2} - x^{3}

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Frequently Asked Questions (FAQ)

What is expand (60-x)^3 ?
The solution to expand (60-x)^3 is 60^3-10800x+180x^2-x^3