Rewrite the division as a fraction.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Write as a fraction with denominator .

Multiply by .

Multiply and .

Write as a fraction with denominator .

Multiply by .

Multiply and .

Write as a fraction with denominator .

Multiply by .

Multiply and .

Write as a fraction with denominator .

Multiply by .

Multiply and .

Combine fractions with similar denominators.

Subtract from .

Move .

Use the power rule to combine exponents.

Add and .

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Reorder terms.

Simplify 2t^2+14t+24÷4t^2-8t-60