What is expand (100-q)^3 ?

The solution to expand (100-q)^3 is 100^3-30000q+300q^2-q^3

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expand (100-q)^3

expand

(100 - q)^{3}

10 0^{3} - 30000 q + 300 q^{2} - q^{3}

Solution steps

(100 - q)^{3}

Apply Perfect Cube Formula:

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

(100 - q)^{3} = 10 0^{3} - 3 \cdot 10 0^{2} q + 3 \cdot 100 q^{2} - q^{3}

= 10 0^{3} - 3 \cdot 10 0^{2} q + 3 \cdot 100 q^{2} - q^{3}

Simplify

10 0^{3} - 3 \cdot 10 0^{2} q + 3 \cdot 100 q^{2} - q^{3} : 10 0^{3} - 30000 q + 300 q^{2} - q^{3}

= 10 0^{3} - 30000 q + 300 q^{2} - q^{3}

28 n - 7 x - 5.5 n - 6.3 x

16 a^{4} - 4 a^{2} + 4 a - 1

3 m^{4} - 8 m^{2} - 16

sin (a) cos (a) (tan^{2} (a) + cot^{2} (x))

\frac{( 2 a ) ^{3}}{2 a ^{2}}

What is expand (100-q)^3 ?
The solution to expand (100-q)^3 is 100^3-30000q+300q^2-q^3