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Please factorize the question |
| Answer» <html><body><p>Pull out like factors : ab3 - a3b = -ab • (a2 - b2) Trying to factor as a Difference of Squares: 2.2 Factoring: a2 - b2 <a href="https://interviewquestions.tuteehub.com/tag/theory-706806" style="font-weight:bold;" target="_blank" title="Click to know more about THEORY">THEORY</a> : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + <a href="https://interviewquestions.tuteehub.com/tag/ba-389206" style="font-weight:bold;" target="_blank" title="Click to know more about BA">BA</a> - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication.Note : - AB + AB <a href="https://interviewquestions.tuteehub.com/tag/equals-974070" style="font-weight:bold;" target="_blank" title="Click to know more about EQUALS">EQUALS</a> <a href="https://interviewquestions.tuteehub.com/tag/zero-751093" style="font-weight:bold;" target="_blank" title="Click to know more about ZERO">ZERO</a> and is therefore eliminated from the expression.Check : a2 is the square of a1 Check : b2 is the square of <a href="https://interviewquestions.tuteehub.com/tag/b1-388995" style="font-weight:bold;" target="_blank" title="Click to know more about B1">B1</a> Factorization is : (a + b) • (a - b)</p></body></html> | |