Rewrite the division as a fraction.

Factor <math><mstyle displaystyle="true"><mi>p</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>3</mn></mrow></msup></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mi>p</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>150</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mi>p</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>5</mn><mi>p</mi></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mi>p</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mi>p</mi><mrow><mo>(</mo><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mo>+</mo><mi>p</mi><mrow><mo>(</mo><mn>150</mn><mi>p</mi><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mi>p</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mi>p</mi><mrow><mo>(</mo><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mn>150</mn><mi>p</mi><mo>)</mo></mrow><mo>+</mo><mi>p</mi><mo>⋅</mo><mn>5</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Split the fraction <math><mstyle displaystyle="true"><mfrac><mrow><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mn>150</mn><mi>p</mi><mo>+</mo><mn>5</mn></mrow><mrow><mn>15</mn></mrow></mfrac></mstyle></math> into two fractions.

Split the fraction <math><mstyle displaystyle="true"><mfrac><mrow><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mn>150</mn><mi>p</mi></mrow><mrow><mn>15</mn></mrow></mfrac></mstyle></math> into two fractions.

Factor <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>6</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Cancel the common factors.

Factor <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Factor <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>150</mn><mi>p</mi></mstyle></math> .

Cancel the common factors.

Factor <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Divide <math><mstyle displaystyle="true"><mn>10</mn><mi>p</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> .

Cancel the common factors.

Factor <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

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