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How to solve factoring differences of squares?
To factorize an algebraic expression expressible as the difference of two squares, we use the following identity a2 - b2 = (a + b) (a β b).Solved examples on factoring differences of squares:
1. Factorize the following algebraic expressions:
(i) 64 - x2= [5(x + y) + 6(x - 2y)] [5(x + y) - 6(x - 2y)]
= [5x + 5y + 6x β 12y] [5x + 5y β 6x + 12y], (applying distributive property)
Now we will arrange and then simplify it.
= (11x - 7y) (17y - x).
= [(x - 2) + (x - 3)][(x - 2) - (x - 3)]
= [x β 2 + x - 3][x - 2 β x + 3]
Now we will arrange and then simplify it.
= [2x β 5][1]
= [2x β 5]
8th Grade Math Practice
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