Question

49x+14xy+y² factorization​

Answer 1

Rewrite

49

x

2

as

(

7

x

)

2

.

(

7

x

)

2

−

14

x

y

+

y

2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

14

x

y

=

2

⋅

(

7

x

)

⋅

y

Rewrite the polynomial.

(

7

x

)

2

−

2

⋅

(

7

x

)

⋅

y

+

y

2

Factor using the perfect square trinomial rule

a

2

−

2

a

b

+

b

2

=

(

a

−

b

)

2

, where

a

=

7

x

and

b

=

y

.

(

7

x

−

y

)

2