Question

Find the following products: (7a-5b)(49a^2+35ab+25b^2)

Answer 1

Answer:

[(7a)^3-(5b)^3]

Step-by-step explanation:

(a^3-b^3)=(a-b)(a^2+ab+b^2)

Hence, (7a-5b)(49a^2+35ab+25b^2)

=(7a-5b)[(7a)^2+(7a*5b)+(5b)^2]

=[(7a)^3-(5b)^3]

where, a=(7a)^3 and b=(5b)^3

HOPE IT WORKS

Answer 2

Answer:

(7a-5b) (7a + 5b)^2

Step-by-step explanation:

we will use two identities in this question these are:

1. (a+b)^2= a^2 + b^2 + 2ab

2. (a^2 - b^2) = (a - b) (a + b)

now,

= (49a^2 + 25b^2 + 35ab) = (7a + 5b)^2

then,

= (7a-5b) (7a + 5b)^2

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