Question

(p-5q) ^3 expand the following​

Answer 1

Step-by-step explanation:

ANSWER

(−3p−5q)

3

((−3p)+(−5q))

3

=(−3p)

3

+(−5q)

3

+3(−3p)(−5q){−3p+(−5q)}

Using, (a+b)

3

=a

3

+b

3

+3ab(a+b)

=−27p

3

−125q

3

+45pq(−3p−5q)

=−27p

3

−125q

3

−135p

2

q−225pq

2

=−(27p

3

+125q

3

+135p

2

q+225pq

2

)

Answer 2

Answer:

p³-15p²q+75pq²-125q³

Step-by-step explanation:

We can use the identity (a-b)³ where a is p and b is -5q.

Hence,

=(p)³- 3×(p)²×(5q) + 3(p)(-5q)² - (5q)²

=p³-15p²q+75pq²-125q³

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