Please factor 1. 2(x+y)^2 +7x(x+y) +5x^2 2. 3(x-y)^2 +2y(x-y)-5y^2 3. 7(x+y)^2 +13y(x+y) -2y^2 Explain for at least one question plz!?

1.

2(x + y)^2 + 7x(x + y) + 5x^2

= 2x^2 + 4xy + 2y^2 + 7x^2 + 7xy + 5x^2

= 14x^2 + 11xy + 2y^2

= 14x^2 + 7xy + 4xy + 2y^2

= 7x(2x + y) + 2y(2x + y)

= (7x + 2y)(2x + y)

2.

3(x - y)^2 + 2y(x - y) - 5y^2

= 3x^2 - 6xy + 3y^2 + 2xy - 2y^2 - 5y^2

= 3x^2 - 4xy - 4y^2

= 3x^2 - 6xy + 2xy - 4y^2

= 3x(x - 2y) + 2y(x - 2y)

= (3x + 2)(x - 2y)

3.

7(x + y)^2 + 13y(x + y) - 2y^2

= (x + y)[7(x + y) + 13y] - 2y^2

= (x + y)(7x + 20y) - 2y^2

= 7x^2 + 27xy + 20y^2 - 2y^2

= 7x^2 + 27xy + 18y^2

= 7x^2 + 21xy + 6xy + 18y^2

= 7x(x + 3y) + 6y(x + 3y)

= (7x + 6y)(x + 3y)

1.

2(x+y)^2 +7x(x+y) +5x^2

2(x+y)(x+y) + 7x^2 + 7xy + 5x^2

2(x^2 + 2xy + y^2) + 7x^2 + 7xy + 5x^2

2x^2 + 4xy + 2y^2 + 7x^2 + 7xy + 5x^2

14x^2 + 11xy + 2y^2

(7x + 2y)(2x + y)

2.

3(x-y)^2 +2y(x-y)-5y^2

3(x-y)(x-y) + 2xy - 2y^2 - 5y^2

3(x^2 - 2xy + y^2) + 2xy - 2y^2 - 5y^2

3x^2 - 6xy + 3y^2 + 2xy - 2y^2 - 5y^2

3x^2 -4xy - 4y^2

(x - 2y)(3x + 2y)

3.

7(x+y)^2 +13y(x+y) -2y^2

7(x+y)(x+y) + 13xy + 13y^2 - 2y^2

7(x^2 + 2xy + y^2) + 13xy + 13y^2 - 2y^2

7x^2 + 14xy + 7y^2 + 13xy + 13y^2 - 2y^2

7x^2 + 27xy + 18y^2

(7x + 6y)(x+3y)