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

Math
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
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
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
t23
t23
Factor (3t^2)/5-(4t^2)/15

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