Math, asked by mansimisra1, 9 months ago

Factorize : x^2(x^2-14)+1​

Answers

Answered by Anonymous
3

Step-by-step explanation:

Explanation:

x

2

+

14

x

+

40

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

1

40

=

40

and,

N

1

+

N

2

=

b

=

14

After trying out a few numbers we get

N

1

=

10

and

N

2

=

4

10

4

=

40

, and

10

+

4

=

14

x

2

+

14

x

+

40

=

x

2

+

10

x

+

4

x

+

40

=

x

(

x

+

10

)

+

4

(

x

+

10

)

Here

(

x

+

10

)

is common to both terms.

So the factorised form is

=

(

x

+

4

)

(

x

+

10

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