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

The solution to 2(x^2-3)^2+5(x^2-3)-3 is 2x^4-7x^2

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

simplify

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

2 x^{4} - 7 x^{2}

Solution steps

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

Expand

2 (x^{2} - 3)^{2} : 2 x^{4} - 12 x^{2} + 18

= 2 x^{4} - 12 x^{2} + 18 + 5 (x^{2} - 3) - 3

Expand

5 (x^{2} - 3) : 5 x^{2} - 15

= 2 x^{4} - 12 x^{2} + 18 + 5 x^{2} - 15 - 3

Group like terms

= 2 x^{4} - 12 x^{2} + 5 x^{2} + 18 - 15 - 3

Add similar elements:

- 12 x^{2} + 5 x^{2} = - 7 x^{2}

= 2 x^{4} - 7 x^{2} + 18 - 15 - 3

Subtract the numbers:

18 - 15 - 3 = 0

= 2 x^{4} - 7 x^{2}

\frac{2}{3} - \frac{6}{9}

\frac{4}{7} \div 3

\frac{x}{1 - x} + \frac{3}{2 x + 3}

r^{9} - 1000 s^{12}

- 10 \cdot 5

What is 2(x^2-3)^2+5(x^2-3)-3 ?
The solution to 2(x^2-3)^2+5(x^2-3)-3 is 2x^4-7x^2