What is (2x+1)^2-(y+5)^2 ?

The solution to (2x+1)^2-(y+5)^2 is 4x^2+4x-y^2-10y-24

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simplify (2x+1)^2-(y+5)^2

simplify

(2 x + 1)^{2} - (y + 5)^{2}

4 x^{2} + 4 x - y^{2} - 10 y - 24

Solution steps

(2 x + 1)^{2} - (y + 5)^{2}

Expand

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= 4 x^{2} + 4 x + 1 - (y + 5)^{2}

Expand

- (y + 5)^{2} : - y^{2} - 10 y - 25

= 4 x^{2} + 4 x + 1 - y^{2} - 10 y - 25

Group like terms

= 4 x^{2} + 4 x - y^{2} - 10 y + 1 - 25

Subtract the numbers:

1 - 25 = - 24

= 4 x^{2} + 4 x - y^{2} - 10 y - 24

7 \frac{1}{2} \div 1 \frac{1}{2}

(3 + 2 i) + (- 4 + 6 i)

- x - (- 10 x)

(6 x - 1) (6 x + 1)

\frac{6}{4 3}

What is (2x+1)^2-(y+5)^2 ?
The solution to (2x+1)^2-(y+5)^2 is 4x^2+4x-y^2-10y-24