What is expand (a(bc-de)^2)r ?

The solution to expand (a(bc-de)^2)r is ab^2c^2r-2deabcr+de^2ar

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expand (a(bc-de)^2)r

expand

(a (b c - d e)^{2}) r

a b^{2} c^{2} r - 2 d e ab cr + d e^{2} a r

Solution steps

(a (b c - d e)^{2}) r

Remove parentheses:

(a) = a

= a (b c - d e)^{2} r

(b c - d e)^{2} = b^{2} c^{2} - 2 d e b c + d e^{2}

= a r (b^{2} c^{2} - 2 d e b c + d e^{2})

= a r (b^{2} c^{2} - 2 d e b c + d e^{2})

Distribute parentheses

= a r b^{2} c^{2} + a r (- 2 d e b c) + a r d e^{2}

Apply minus-plus rules

+ (- a) = - a

= a b^{2} c^{2} r - 2 d e ab cr + d e^{2} a r

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

- e^{x} (1 + e^{x})

\frac{( x + y ) ^{9}}{( x - y ) ^{5}}

\frac{1}{( x + h - 3 ) ( x - 3 )}

\frac{4 π ( r + 2 ) ^{2}}{3}

What is expand (a(bc-de)^2)r ?
The solution to expand (a(bc-de)^2)r is ab^2c^2r-2deabcr+de^2ar