What is expand (5p-3q)(p^2-pq+q^2) ?

The solution to expand (5p-3q)(p^2-pq+q^2) is 5p^3-8p^2q+8pq^2-3q^3

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expand (5p-3q)(p^2-pq+q^2)

expand

(5 p - 3 q) (p^{2} - pq + q^{2})

5 p^{3} - 8 p^{2} q + 8 p q^{2} - 3 q^{3}

Solution steps

(5 p - 3 q) (p^{2} - pq + q^{2})

Distribute parentheses

= 5 p p^{2} + 5 p (- pq) + 5 p q^{2} - 3 q p^{2} - 3 q (- pq) - 3 q q^{2}

Simplify

5 p p^{2} + 5 p (- pq) + 5 p q^{2} - 3 q p^{2} - 3 q (- pq) - 3 q q^{2} : 5 p^{3} - 8 p^{2} q + 8 p q^{2} - 3 q^{3}

= 5 p^{3} - 8 p^{2} q + 8 p q^{2} - 3 q^{3}

75 m^{16} n^{7}

9 (- 6 p - 4) + 3 (3 p - 5)

81 x^{2} + 81

- 2 (- 6 x - 9) - 4 (x + 9)

- 9 - 6 (- v + 5)

What is expand (5p-3q)(p^2-pq+q^2) ?
The solution to expand (5p-3q)(p^2-pq+q^2) is 5p^3-8p^2q+8pq^2-3q^3