Question

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Answer 1

Answer:

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Solve:3/2p²+2/3q²,(2p²-3q²)

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1.Combine multiplied terms into a single fraction.

$\sf{\frac{3 {p}^{2} }{2} + \frac{2}{3}. {q}^{2}(2 {p}^{2} - 3 {q}^{2} ) }$

2.Combine multiplied terms into a single fraction.

$\sf{ \frac{3 {p}^{2} }{2} + \frac{2 {q}^{2}(2 {p}^{2} - 3 {q}^{2} ) }{3} }$

3.Distribute

$\sf{ \frac{3 {p}^{2} }{2} + \frac{4 {p}^{2} {q}^{2} - 6 {q}^{2} }{3} }$

4.Find common denominator

$\sf{ \frac{3.3 {p}^{2} }{6} + \frac{2(4 {p}^{2} {q}^{2} - 6 {q}^{4}) }{6} }$

5.Combine fraction with common denominator.

$\sf{\frac{3.3 {p}^{2} + 2(4 {p}^{2} {q}^{2} - 6 {q}^{4} )}{6} }$

6.Multiply the numbers.

$\sf{ \frac{9 {p}^{2} + 2(4 {p}^{2} {q}^{2} - 6 {q}^{4} ) }{6} }$

7.Distribute.

$\sf{ \frac{9 {p}^{2} + 8 {p}^{2} {q}^{2} - 12 {q}^{4} }{6} }$

8.Rearrange terms.

$\sf{ \frac{8 {p}^{2} {q}^{2} - 12 {q}^{4} + 9 {p}^{2} }{6} }$