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Popular >

expand (x^2y)(4xy^3)

Solution

expand

(x^{2} y) (4 x y^{3})

Solution

4 x^{3} y^{4}

Solution steps

(x^{2} y) (4 x y^{3})

Remove parentheses:

(a) = a

= x^{2} y \cdot 4 x y^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x = x^{2 + 1}

= y \cdot 4 x^{2 + 1} y^{3}

Add the numbers:

2 + 1 = 3

= y \cdot 4 x^{3} y^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y y^{3} = y^{1 + 3}

= 4 x^{3} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 4 x^{3} y^{4}

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Frequently Asked Questions (FAQ)

What is expand (x^2y)(4xy^3) ?
The solution to expand (x^2y)(4xy^3) is 4x^3y^4