What is (5a^2xy^2)(-3x^3+5x^2y-7xy^2-4y^3) ?

The solution to (5a^2xy^2)(-3x^3+5x^2y-7xy^2-4y^3) is 5a^2xy^2(-3x^3+5x^2y-7xy^2-4y^3)

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simplify (5a^2xy^2)(-3x^3+5x^2y-7xy^2-4y^3)

simplify

(5 a^{2} x y^{2}) (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

5 a^{2} x y^{2} (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

Solution steps

(5 a^{2} x y^{2}) (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

a^{2} y^{2} = (a y)^{2}

= 5 x (a y)^{2} (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

(a y)^{2} = a^{2} y^{2}

= 5 a^{2} x y^{2} (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

\frac{10}{3} e^{- s t}

3.9 \cdot 1 0^{- 4}

x x - 1

\frac{- 32}{16}

What is (5a^2xy^2)(-3x^3+5x^2y-7xy^2-4y^3) ?
The solution to (5a^2xy^2)(-3x^3+5x^2y-7xy^2-4y^3) is 5a^2xy^2(-3x^3+5x^2y-7xy^2-4y^3)