Question

100x^2 + 180x + 81 factorize answer please

Answer 1

Step-by-step explanation:

Rewrite

100

x

2

as

(

10

x

)

2

.

(

10

x

)

2

+

180

x

+

81

Rewrite

81

as

9

2

.

(

10

x

)

2

+

180

x

+

9

2

Check the middle term by multiplying

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

10

x

)

⋅

9

Simplify.

2

a

b

=

180

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

10

x

and

b

=

9

.

(

10

x

+

9

)

2

Answer 2

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${100x}^{2} + 180x + 81$

$( {10x})^{2} + 180x + {9}^{2}$

check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.

$2ab = 2.(10x).9$

$2ab = 180x$

factor using the perfect square trinomial rule

${a}^{2} + 2ab + {b}^{2} = ( {a + b})^{2}$

, where a= 10x , b= 9

$(10x + 9)^2$