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In factorization of perfect square trinomials we will learn how to solve the algebraic expressions using the formulas. To factorize an algebraic expression expressible as a perfect square, we use the following identities:
(i) a2 + 2ab + b2 = (a + b)2 = (a + b) (a + b)Note: We will also learn to use two identities in the same question, to factorize the expression.
Solved problems on factorization of perfect square trinomials:
1. Factorization when the given expression is a perfect square:
(i) x4 - 10x2y2 + 25y4= (x + y) (x- y) (x + y) (x- y)
2. Factorize using the identity:
= [1 + (x + y)] [1 - (x + y)]
= [1 + x + y] [1 - x - y]
Note:
We see that to solve the above problems on factorization of perfect square trinomials we not only used perfect square identities but we also used the difference of two squares identity in different situations.
8th Grade Math Practice
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