What is expand (4p+5q)^3 ?

The solution to expand (4p+5q)^3 is 64p^3+240p^2q+300pq^2+125q^3

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expand (4p+5q)^3

expand

(4 p + 5 q)^{3}

64 p^{3} + 240 p^{2} q + 300 p q^{2} + 125 q^{3}

Solution steps

(4 p + 5 q)^{3}

Apply Perfect Cube Formula:

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

(4 p + 5 q)^{3} = (4 p)^{3} + 3 (4 p)^{2} \cdot 5 q + 3 \cdot 4 p (5 q)^{2} + (5 q)^{3}

= (4 p)^{3} + 3 (4 p)^{2} \cdot 5 q + 3 \cdot 4 p (5 q)^{2} + (5 q)^{3}

Simplify

(4 p)^{3} + 3 (4 p)^{2} \cdot 5 q + 3 \cdot 4 p (5 q)^{2} + (5 q)^{3} : 64 p^{3} + 240 p^{2} q + 300 p q^{2} + 125 q^{3}

= 64 p^{3} + 240 p^{2} q + 300 p q^{2} + 125 q^{3}

x^{6} + 26 x^{3} - 27

x^{6} - 21 x^{3} \cdot m + 98 m^{2}

t (- 36) r (9 - 10)

(b + 3)^{3}

\frac{( 28 a ^{6} \cdot b ^{4} \cdot c )}{( - 7 a ^{5} \cdot b ^{4} \cdot c )}

What is expand (4p+5q)^3 ?
The solution to expand (4p+5q)^3 is 64p^3+240p^2q+300pq^2+125q^3