How to solve factoring differences of squares?

To factorize an algebraic expression expressible as the difference of two squares, we use the following identity aSolved examples on factoring differences of squares:

**1. Factorize the
following algebraic expressions: **

64 - x

= (8)

Now by using the formula of a

= (8 + x)(8 - x).

3a

= 3(a

=3[(a)

So, now we need to apply the formula of a

= 3(a + 3b)(a – 3b)

x

= x(x

= x(x

Now we can write x

= x(x + 5)(x - 5).

We can write 81a

= (9a)

Now using the formula of a

= [9a + (b – c)] [9a - (b – c)]

= [9a + b – c] [9a - b + c ]

We can write 25(x + y)

= {5(x + y)}

Now using the formula of a

= [5(x + y) + 6(x - 2y)] [5(x + y) - 6(x - 2y)]

= [5x + 5y + 6x – 12y] [5x + 5y – 6x + 12y], (applying distributive property)

Now we will arrange and then simplify it.

= (11x - 7y) (17y - x).

We can express (x – 2)

= [(x - 2) + (x - 3)][(x - 2) - (x - 3)]

= [x – 2 + x - 3][x - 2 – x + 3]

Now we will arrange and then simplify it.

= [2x – 5][1]

= [2x – 5]

**8th Grade Math Practice**

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