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

The solution to (x+5)^2+(x-5)^2 is 2x^2+50

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

simplify

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

2 x^{2} + 50

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} = 2 x^{2}

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

Add similar elements:

10 x - 10 x = 0

= 2 x^{2} + 25 + 25

Add the numbers:

25 + 25 = 50

= 2 x^{2} + 50

\frac{1}{2} \cdot (- \frac{1}{3})

2 5^{2} - 1 5^{2}

\frac{x ^{2} - 9 x + 18}{x ^{2} - 4 x - 12}

\frac{1 - sin ( θ )}{cos ( θ )}

\frac{\frac{2}{3}}{5}