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

The solution to (x+5)^2-(x-5)^2 is 20x

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

simplify

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

20 x

Solution steps

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

Expand

(x + 5)^{2} : x^{2} + 10 x + 25

= x^{2} + 10 x + 25 - (x - 5)^{2}

Expand

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

= x^{2} + 10 x + 25 - x^{2} + 10 x - 25

Group like terms

= x^{2} - x^{2} + 10 x + 10 x + 25 - 25

Add similar elements:

x^{2} - x^{2} = 0

= 10 x + 10 x + 25 - 25

Add similar elements:

10 x + 10 x = 20 x

= 20 x + 25 - 25

Subtract the numbers:

25 - 25 = 0

= 20 x

\frac{48}{16}

x^{3} - 6 x^{2} + x - 6

3 x \times x^{2}

9 \times 6

4 \cdot 4 \cdot 4 \cdot 4