What is 25(x-y)^2-4(x+y)^2 ?

The solution to 25(x-y)^2-4(x+y)^2 is 21x^2-58xy+21y^2

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simplify 25(x-y)^2-4(x+y)^2

simplify

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

21 x^{2} - 58 x y + 21 y^{2}

Solution steps

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

Expand

25 (x - y)^{2} : 25 x^{2} - 50 x y + 25 y^{2}

= 25 x^{2} - 50 x y + 25 y^{2} - 4 (x + y)^{2}

Expand

- 4 (x + y)^{2} : - 4 x^{2} - 8 x y - 4 y^{2}

= 25 x^{2} - 50 x y + 25 y^{2} - 4 x^{2} - 8 x y - 4 y^{2}

Group like terms

= 25 x^{2} - 4 x^{2} - 50 x y - 8 x y + 25 y^{2} - 4 y^{2}

Add similar elements:

25 x^{2} - 4 x^{2} = 21 x^{2}

= 21 x^{2} - 50 x y - 8 x y + 25 y^{2} - 4 y^{2}

Add similar elements:

- 50 x y - 8 x y = - 58 x y

= 21 x^{2} - 58 x y + 25 y^{2} - 4 y^{2}

Add similar elements:

25 y^{2} - 4 y^{2} = 21 y^{2}

= 21 x^{2} - 58 x y + 21 y^{2}

4 r^{2} + 20 r + 25

2 + \frac{3}{8}

\frac{a x - a y}{3 a}

(3) (5)

What is 25(x-y)^2-4(x+y)^2 ?
The solution to 25(x-y)^2-4(x+y)^2 is 21x^2-58xy+21y^2