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

The solution to factor (x+2)^2-(2y+1)^2 is (x+3+2y)(x-2y+1)

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factor (x+2)^2-(2y+1)^2

factor

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

(x + 3 + 2 y) (x - 2 y + 1)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= ((x + 2) + (2 y + 1)) ((x + 2) - (2 y + 1))

Simplify

((x + 2) + (2 y + 1)) ((x + 2) - (2 y + 1)) : (x + 3 + 2 y) (x - 2 y + 1)

= (x + 3 + 2 y) (x - 2 y + 1)

a^{2} + 6 ab - 7 b^{2}

\frac{3 x ^{2} - 2 x}{3 x - 2} \leq - 2

\frac{2}{3} x = - 12

\frac{( \frac{5}{13} )}{( \frac{12}{13} )}

\frac{( 7 - 8 i )}{( 4 - 5 i )}

What is factor (x+2)^2-(2y+1)^2 ?
The solution to factor (x+2)^2-(2y+1)^2 is (x+3+2y)(x-2y+1)