What is expand (-4x^3y^2)(3x^3y) ?

The solution to expand (-4x^3y^2)(3x^3y) is -12x^6y^3

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

expand

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

- 12 x^{6} y^{3}

Solution steps

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

Remove parentheses:

(a) = a

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

Multiply the numbers:

4 \cdot 3 = 12

= - 12 x^{3} x^{3} y^{2} y

Apply exponent rule:

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

x^{3} x^{3} = x^{3 + 3}

= - 12 y^{2} x^{3 + 3} y

Add the numbers:

3 + 3 = 6

= - 12 y^{2} x^{6} y

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= - 12 x^{6} y^{2 + 1}

Add the numbers:

2 + 1 = 3

= - 12 x^{6} y^{3}

- \frac{4 ( 72 - 5 p ^{2} )}{3}

2 x^{2} (- \frac{1}{x} + 1)

(x + 1) (x + \frac{1}{2}) (x + \frac{1}{4})

(\frac{13}{2} - \frac{2 2 - 1}{3})

(x + h + h)^{2}

What is expand (-4x^3y^2)(3x^3y) ?
The solution to expand (-4x^3y^2)(3x^3y) is -12x^6y^3