Factor (3t^2)/5-(4t^2)/15

3t25-4t215

To write 3t25 as a fraction with a common denominator, multiply by 33.

3t25⋅33-4t215

Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.

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Multiply 3t25 and 33.

3t2⋅35⋅3-4t215

Multiply 5 by 3.

3t2⋅315-4t215

Combine the numerators over the common denominator.

3t2⋅3-4t215

Rewrite 3t2⋅3-4t215 in a factored form.

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Factor t2 out of 3t2⋅3-4t2.

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Factor t2 out of 3t2⋅3.

t2(3⋅3)-4t215

Factor t2 out of -4t2.

t2(3⋅3)+t2⋅-415

Factor t2 out of t2(3⋅3)+t2⋅-4.

t2(3⋅3-4)15

Multiply 3 by 3.

t2(9-4)15

Subtract 4 from 9.

t2⋅515

Reduce the expression t2⋅515 by cancelling the common factors.

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Factor 5 out of t2⋅5.

5⋅t215

Factor 5 out of 15.

5⋅t25⋅3

Cancel the common factor.

5⋅t25⋅3

Rewrite the expression.

t23

Factor (3t^2)/5-(4t^2)/15