What is (3x-5)^2+(5x+2)^2 ?

The solution to (3x-5)^2+(5x+2)^2 is 34x^2-10x+29

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simplify (3x-5)^2+(5x+2)^2

simplify

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

34 x^{2} - 10 x + 29

Solution steps

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

Expand

(3 x - 5)^{2} : 9 x^{2} - 30 x + 25

= 9 x^{2} - 30 x + 25 + (5 x + 2)^{2}

Expand

(5 x + 2)^{2} : 25 x^{2} + 20 x + 4

= 9 x^{2} - 30 x + 25 + 25 x^{2} + 20 x + 4

Group like terms

= 9 x^{2} + 25 x^{2} - 30 x + 20 x + 25 + 4

Add similar elements:

9 x^{2} + 25 x^{2} = 34 x^{2}

= 34 x^{2} - 30 x + 20 x + 25 + 4

Add similar elements:

- 30 x + 20 x = - 10 x

= 34 x^{2} - 10 x + 25 + 4

Add the numbers:

25 + 4 = 29

= 34 x^{2} - 10 x + 29

(x)^{3}

\frac{a}{a}

\frac{37}{180} - \frac{16}{1200}

\frac{11}{8} - (- \frac{3}{10})

3 (\frac{2}{5}) - 2 (\frac{2}{3})