What is (3x+5)^2+(2x-3)^2-13x^2-34 ?

The solution to (3x+5)^2+(2x-3)^2-13x^2-34 is 18x

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simplify (3x+5)^2+(2x-3)^2-13x^2-34

simplify

(3 x + 5)^{2} + (2 x - 3)^{2} - 13 x^{2} - 34

18 x

Solution steps

(3 x + 5)^{2} + (2 x - 3)^{2} - 13 x^{2} - 34

Expand

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

= 9 x^{2} + 30 x + 25 + (2 x - 3)^{2} - 13 x^{2} - 34

Expand

(2 x - 3)^{2} : 4 x^{2} - 12 x + 9

= 9 x^{2} + 30 x + 25 + 4 x^{2} - 12 x + 9 - 13 x^{2} - 34

Group like terms

= 9 x^{2} + 4 x^{2} - 13 x^{2} + 30 x - 12 x + 25 + 9 - 34

Add similar elements:

9 x^{2} + 4 x^{2} - 13 x^{2} = 0

= 30 x - 12 x + 25 + 9 - 34

Add similar elements:

30 x - 12 x = 18 x

= 18 x + 25 + 9 - 34

Add the numbers:

25 + 9 - 34 = 0

= 18 x

\frac{1 + 2 i}{1 - 2 i} + \frac{2 + i}{1 + 2 i}

32 n^{\frac{3}{2}}

(\frac{1}{3 ( x - 1 ) ^{\frac{2}{3}}})^{2}

2 \cdot 1 0^{4} + 3 \cdot 1 0^{4}

\frac{tan ( x )}{cos ^{2} ( x )}

What is (3x+5)^2+(2x-3)^2-13x^2-34 ?
The solution to (3x+5)^2+(2x-3)^2-13x^2-34 is 18x