Question

16(8a+5b)²-9(3a-116)² factorize a²-b²=(a+b) (a-b)

Answer 1

Answer:

Factors:

In a

product of two or more expressions each expression is called a factor of the

product.

 

Factorization:

The process

of writing a given expression as a product of two or more factors is called

factorization.

Factorization

when an expression is a complete square:

In this

case we use the following formula

1.      a²+2ab+b²= (a+b)²

2.      a²-2ab+b²= (a-b)²

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solution:

1) a² + 8a + 16

= a² + 2×a× 4 +  4²

[(a+b)²= a² +b² +2 ab]

    =(a+4)²

2)  p² – 10 p + 25

= p²-  2×p× 5 +  5²

(a-b)²= a² +b² -2 ab   

=(p-5)²

3) 25m² + 30m + 9

= (5m)² + 2×5m× 3 +  3²

[(a+b)²= a² +b² +2ab]

    =(5m+3)²

4) 49y² + 84yz + 36z²

= (7y)² + 2×7y× 6z +  (6z)²

[(a+b)²= a² +b² +2 ab ]

=(7y+6z)²

5) 4x² – 8x + 4

= (2x)² -  2×2x× 2 +  2²

[(a-b)²= a² +b² -2 ab]

   =(2x-2)²

= [2(x-1)² ] = 4(x-1) ²

6) 121b² – 88bc + 16c²

= (11b)² - 2×11b× 4c +  (4c)²

[(a-b)²= a² +b² -2 ab]

    =(11b-4c)²

7) (l + m) ² – 4lm

=l² + m² +2lm -4lm

= l² + m² -2lm

[a-b)²= a² +b² -2ab]

    =(l-m)²

8) a⁴ + 2a²b² + b⁴

= (a²)² + 2a²b²+(b²)²

[(a+b)²= a² +b² +2 ab ]

=(a²+b²)²

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Hope this help you...