What is expand (4d^3e+2)(4d^3e+11) ?

The solution to expand (4d^3e+2)(4d^3e+11) is 16e^2d^6+52ed^3+22

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expand (4d^3e+2)(4d^3e+11)

expand

(4 d^{3} e + 2) (4 d^{3} e + 11)

16 e^{2} d^{6} + 52 e d^{3} + 22

Solution steps

(4 d^{3} e + 2) (4 d^{3} e + 11)

= (4 e d^{3} + 2) (4 e d^{3} + 11)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 4 d^{3} e, b = 2, c = 4 d^{3} e, d = 11

= 4 d^{3} e 4 d^{3} e + 4 d^{3} e 11 + 2 \cdot 4 d^{3} e + 2 \cdot 11

= 4 \cdot 4 ee d^{3} d^{3} + 4 \cdot 11 e d^{3} + 2 \cdot 4 e d^{3} + 2 \cdot 11

Simplify

4 \cdot 4 ee d^{3} d^{3} + 4 \cdot 11 e d^{3} + 2 \cdot 4 e d^{3} + 2 \cdot 11 : 16 e^{2} d^{6} + 52 e d^{3} + 22

= 16 e^{2} d^{6} + 52 e d^{3} + 22

\frac{1}{s ( s + 1 ) ( s + 3 )}

\frac{1}{2} (- \frac{1}{6} csc^{6} (2 x) + \frac{1}{4} csc^{4} (2 x))

\frac{( w - 1 ) ^{2}}{2} + 4 - 2 w

\frac{x ( - x + 3 )}{2}

(t am x + cot (x)) cos (2 x)

What is expand (4d^3e+2)(4d^3e+11) ?
The solution to expand (4d^3e+2)(4d^3e+11) is 16e^2d^6+52ed^3+22