What is simplify-(x+2y)^2+16(x+y)^2 ?

The solution to simplify-(x+2y)^2+16(x+y)^2 is 15x^2+28xy+12y^2

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simplify-(x+2y)^2+16(x+y)^2

simplify

- (x + 2 y)^{2} + 16 (x + y)^{2}

15 x^{2} + 28 x y + 12 y^{2}

Solution steps

- (x + 2 y)^{2} + 16 (x + y)^{2}

Expand

- (x + 2 y)^{2} : - x^{2} - 4 x y - 4 y^{2}

= - x^{2} - 4 x y - 4 y^{2} + 16 (x + y)^{2}

Expand

16 (x + y)^{2} : 16 x^{2} + 32 x y + 16 y^{2}

= - x^{2} - 4 x y - 4 y^{2} + 16 x^{2} + 32 x y + 16 y^{2}

Group like terms

= - x^{2} + 16 x^{2} - 4 x y + 32 x y - 4 y^{2} + 16 y^{2}

Add similar elements:

- x^{2} + 16 x^{2} = 15 x^{2}

= 15 x^{2} - 4 x y + 32 x y - 4 y^{2} + 16 y^{2}

Add similar elements:

- 4 x y + 32 x y = 28 x y

= 15 x^{2} + 28 x y - 4 y^{2} + 16 y^{2}

Add similar elements:

- 4 y^{2} + 16 y^{2} = 12 y^{2}

= 15 x^{2} + 28 x y + 12 y^{2}

51 \div 17

6 x (2 x + 3)

2 m^{2} - 5 m - 7

\frac{4}{\frac{13}{x} - 3}

- 15 - (- 3)

What is simplify-(x+2y)^2+16(x+y)^2 ?
The solution to simplify-(x+2y)^2+16(x+y)^2 is 15x^2+28xy+12y^2