What is expand (7xy)(40xy^2z) ?

The solution to expand (7xy)(40xy^2z) is 280x^2y^3z

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expand (7xy)(40xy^2z)

expand

(7 x y) (40 x y^{2} z)

280 x^{2} y^{3} z

Solution steps

(7 x y) (40 x y^{2} z)

Remove parentheses:

(a) = a

= 7 x y \cdot 40 x y^{2} z

Multiply the numbers:

7 \cdot 40 = 280

= 280 xx y^{2} yz

Apply exponent rule:

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

xx = x^{1 + 1}

= 280 y x^{1 + 1} y^{2} z

Add the numbers:

1 + 1 = 2

= 280 y x^{2} y^{2} z

Apply exponent rule:

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

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

= 280 x^{2} y^{1 + 2} z

Add the numbers:

1 + 2 = 3

= 280 x^{2} y^{3} z

- cos (3 (1 + 3 x^{2}))

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

y (x y + y + 1) d x + (2 x y + 1) d y

\frac{x ^{2} - a}{( x - 4 ) ( x + 5 )}

\frac{x ( x + 1 )}{t}

What is expand (7xy)(40xy^2z) ?
The solution to expand (7xy)(40xy^2z) is 280x^2y^3z