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Explain how to factorize the difference of two squares?
We know the formula (a2 – b2) = (a + b)(a - b) is used to factorize the algebraic expressions.Solved problems to factorize the difference of two squares:
1. Factorize:
(i) y2 - 121= (7x + 4y) (7x - 4y).
2. Factor the following:
(i) 48a2 - 243b2= 3x(x + 4)(x - 4).
3. Factor the expressions:
(i) 25(x + 3y)2 - 16 (x - 3y)2= [5(x + 3y) + 4(x - 3y)] [5(x + 3y) - 4(x - 3y)]
= [5x + 15y + 4x - 12y] [5x + 15y - 4x + 12y], using distributive property
= [9x + 3y] [x + 27y], simplifying
= 3[3x + y] [x + 27y]
8th Grade Math Practice
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