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Factorise: 125a^3-27b^3+75a^2b -45ab^2

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Factorise: 125a^3-27b^3+75a^2b -45ab^2

Posted by Priyanka Chaudhary 5 years, 3 months ago

CBSE > Class 09 > Mathematics

3 answers

Ram Kushwah 4 years ago

(5a)³-(3b)³-(5a)(3b)(5a--3a)

Let 5a =p,3b=q

So this expression

=p3 -q3-pq(p-q)

=(p-q)(p2+q2+pq)-pq(p-q)

=(p-q)(p2+q2)

={5a-3b}{25a2+9b2}

Kamal Chaurasia 5 years, 3 months ago

Sorry (5a-3b)³

Kamal Chaurasia 5 years, 3 months ago

(5-3)³

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