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

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

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

simplify

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

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

Solution steps

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

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

(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})

x^{\frac{1}{2}}

(x - 4)^{2}

(2 - 3) (2 - 3)

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