What is (3a)^2+(-2b)^2-(2a^2) ?

The solution to (3a)^2+(-2b)^2-(2a^2) is 7a^2+4b^2

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simplify (3a)^2+(-2b)^2-(2a^2)

simplify

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

7 a^{2} + 4 b^{2}

Solution steps

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

Apply rule:

- (a) = - a

- (2 a^{2}) = - 2 a^{2}

= (3 a)^{2} + (- 2 b)^{2} - 2 a^{2}

(3 a)^{2} = 9 a^{2}

(- 2 b)^{2} = 4 b^{2}

= 9 a^{2} + 4 b^{2} - 2 a^{2}

Group like terms

= 9 a^{2} - 2 a^{2} + 4 b^{2}

Add similar elements:

9 a^{2} - 2 a^{2} = 7 a^{2}

= 7 a^{2} + 4 b^{2}

\frac{4}{13} \cdot o \cdot f_{2} \cdot \frac{3}{7} - \frac{68}{91} - [\frac{11}{2} - \frac{12}{3}]

(21 - 2 x) (\frac{27.5}{2} - 2 \frac{x}{2}) x

\frac{9 x ^{4}}{x}

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

x^{3} + 15 x^{2} - 500

What is (3a)^2+(-2b)^2-(2a^2) ?
The solution to (3a)^2+(-2b)^2-(2a^2) is 7a^2+4b^2