What is expand (a+b)(c+d)^3 ?

The solution to expand (a+b)(c+d)^3 is ac^3+bc^3+3ac^2d+3bc^2d+3acd^2+3bcd^2+ad^3+bd^3

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expand (a+b)(c+d)^3

expand

(a + b) (c + d)^{3}

a c^{3} + b c^{3} + 3 a c^{2} d + 3 b c^{2} d + 3 a c d^{2} + 3 b c d^{2} + a d^{3} + b d^{3}

Solution steps

(a + b) (c + d)^{3}

= (c + d)^{3} (a + b)

Expand

(c + d)^{3} : c^{3} + 3 c^{2} d + 3 c d^{2} + d^{3}

= (c^{3} + 3 c^{2} d + 3 c d^{2} + d^{3}) (a + b)

Distribute parentheses

= c^{3} a + c^{3} b + 3 c^{2} d a + 3 c^{2} d b + 3 c d^{2} a + 3 c d^{2} b + d^{3} a + d^{3} b

= a c^{3} + b c^{3} + 3 a c^{2} d + 3 b c^{2} d + 3 a c d^{2} + 3 b c d^{2} + a d^{3} + b d^{3}

6 + 8 + 2 y + 4 y

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

x^{5} - x^{4} - x^{3} - x^{2}

x^{3} + (x - 3)^{3}

- 3 p + 6 p

What is expand (a+b)(c+d)^3 ?
The solution to expand (a+b)(c+d)^3 is ac^3+bc^3+3ac^2d+3bc^2d+3acd^2+3bcd^2+ad^3+bd^3