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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{3} y^{3} = (x y)^{3}

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

(x y)^{3} = x^{3} y^{3}

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

(3 u^{3} v^{5}) (9 u^{4} v)

0.9 \cdot 1 0^{- 1}

(3 x^{2} y^{3}) (5 x y^{2})

2 4 - 15

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