What is (a+b)^2-(a-b)^2 ?

The solution to (a+b)^2-(a-b)^2 is 4ab

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simplify (a+b)^2-(a-b)^2

simplify

(a + b)^{2} - (a - b)^{2}

4 ab

Solution steps

(a + b)^{2} - (a - b)^{2}

Expand

(a + b)^{2} : a^{2} + 2 ab + b^{2}

= a^{2} + 2 ab + b^{2} - (a - b)^{2}

Expand

- (a - b)^{2} : - a^{2} + 2 ab - b^{2}

= a^{2} + 2 ab + b^{2} - a^{2} + 2 ab - b^{2}

Group like terms

= a^{2} - a^{2} + 2 ab + 2 ab + b^{2} - b^{2}

Add similar elements:

a^{2} - a^{2} = 0

= 2 ab + 2 ab + b^{2} - b^{2}

Add similar elements:

2 ab + 2 ab = 4 ab

= 4 ab + b^{2} - b^{2}

Add similar elements:

b^{2} - b^{2} = 0

= 4 ab

\frac{3}{4} (x - 5) = \frac{2}{3} (3 x - 4)

(3 a + 2)^{3} - 8 a^{3}

∣ 3 x - 4 ∣ \leq 2

5 x^{2} + 4 x + 8 = 0

4 x^{2} - 12 x = 16