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Find the product of : (7a-5b)(49a^2+35a+25b^2)
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Answered by
1
Answer
49a^3 - 25b^3
Step-by-step explanation:
= (7a - 5b)(49a^2+35a+25b^2)
= (7a - 5b){(7a)^2 + 7a * 5b (5b)^2}
= (7a)^3 - (5b)^3 [ using identity { a^3-b^3 = (a-b)(a^2+ ab + b^2)}]
= 49a^3 - 25b^3
Answered by
0
Answer:
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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
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