Math, asked by hamsikagubba, 4 days ago

factorise 2x minus 3 whole square minus 32​

Answers

Answered by kanchichhabria
0

Step-by-step explanation:

GIVEN :

The expression is 2(x-3)^2-322(x−3)

2

−32

TO FIND :

The factorised polynomial for the given expression.

SOLUTION :

Given expression is 2(x-3)^2-322(x−3)

2

−32

Now factorise the given expression as below :

2(x-3)^2-322(x−3)

2

−32

By using the algebraic formula:

(a-b)^2=a^2-2ab+b^2(a−b)

2

=a

2

−2ab+b

2

=2(x^2-2(x)(3)+3^2)-32=2(x

2

−2(x)(3)+3

2

)−32

=2(x^2-6x+9)-32=2(x

2

−6x+9)−32

By using the Distributive property :

a(x+y+z)=ax+ay+az

=2(x^2)+2(-6x)+2(9)-32=2(x

2

)+2(−6x)+2(9)−32

=2x^2-12x+18-32=2x

2

−12x+18−32

By adding the like terms

=2x^2-12x-14=2x

2

−12x−14

Dividing by 2 we get

=x^2-6x-7=x

2

−6x−7

=(x+1)(x-7)=(x+1)(x−7)

2(x-3)^2=(x+1)(x-7)2(x−3)

2

=(x+1)(x−7)

∴ the factorised expression to the given expression 2(x-3)^22(x−3)

2

is (x-1)(x+7)

∴ 2(x-3)^2=(x+1)(x-7)2(x−3)

2

=(x+1)(x−7)

Answered by kunisettinagaparvati
0

Answer:

if it is wrote like it OK

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