What is factor 4(g-h)^2-(a+b)^2 ?

The solution to factor 4(g-h)^2-(a+b)^2 is (2g-2h+a+b)(2g-2h-a-b)

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factor 4(g-h)^2-(a+b)^2

factor

4 (g - h)^{2} - (a + b)^{2}

(2 g - 2 h + a + b) (2 g - 2 h - a - b)

Solution steps

4 (g - h)^{2} - (a + b)^{2}

Simplify

4 (g - h)^{2} : (2 (g - h))^{2}

= (2 (g - h))^{2} - (a + b)^{2}

Apply Difference of Two Squares Formula:

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

(2 (g - h))^{2} - (a + b)^{2} = (2 (g - h) + (a + b)) (2 (g - h) - (a + b))

= (2 (g - h) + (a + b)) (2 (g - h) - (a + b))

Simplify

(2 (g - h) + (a + b)) (2 (g - h) - (a + b)) : (2 g - 2 h + a + b) (2 g - 2 h - a - b)

= (2 g - 2 h + a + b) (2 g - 2 h - a - b)

11 x = 7

(\frac{1}{2}) - 1

- 1 + \frac{n}{5} = - 7

3 x + 10 = 5 x

2 x - 1 - 2 x = 0

What is factor 4(g-h)^2-(a+b)^2 ?
The solution to factor 4(g-h)^2-(a+b)^2 is (2g-2h+a+b)(2g-2h-a-b)