What is (3m^2n^2)(-2m^2+n^3) ?

The solution to (3m^2n^2)(-2m^2+n^3) is 3m^2n^2(n^3-2m^2)

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simplify (3m^2n^2)(-2m^2+n^3)

simplify

(3 m^{2} n^{2}) (- 2 m^{2} + n^{3})

3 m^{2} n^{2} (n^{3} - 2 m^{2})

Solution steps

(3 m^{2} n^{2}) (- 2 m^{2} + n^{3})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

m^{2} n^{2} = (mn)^{2}

= 3 (mn)^{2} (n^{3} - 2 m^{2})

(mn)^{2} = m^{2} n^{2}

= 3 m^{2} n^{2} (n^{3} - 2 m^{2})

- 2 g h (g^{3} h^{5})

\frac{x ^{3}}{( x + 1 ) ^{3}}

(e^{t}) (e^{t})

What is (3m^2n^2)(-2m^2+n^3) ?
The solution to (3m^2n^2)(-2m^2+n^3) is 3m^2n^2(n^3-2m^2)