What is expand (3e^2+5y)(2e^3+8z) ?

The solution to expand (3e^2+5y)(2e^3+8z) is 6e^5+24e^2z+10e^3y+40yz

Popular >

expand (3e^2+5y)(2e^3+8z)

expand

(3 e^{2} + 5 y) (2 e^{3} + 8 z)

6 e^{5} + 24 e^{2} z + 10 e^{3} y + 40 yz

Solution steps

(3 e^{2} + 5 y) (2 e^{3} + 8 z)

Apply FOIL method:

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

a = 3 e^{2}, b = 5 y, c = 2 e^{3}, d = 8 z

= 3 e^{2} \cdot 2 e^{3} + 3 e^{2} \cdot 8 z + 5 y \cdot 2 e^{3} + 5 y \cdot 8 z

= 3 \cdot 2 e^{3} e^{2} + 3 \cdot 8 e^{2} z + 5 \cdot 2 e^{3} y + 5 \cdot 8 yz

Simplify

3 \cdot 2 e^{3} e^{2} + 3 \cdot 8 e^{2} z + 5 \cdot 2 e^{3} y + 5 \cdot 8 yz : 6 e^{5} + 24 e^{2} z + 10 e^{3} y + 40 yz

= 6 e^{5} + 24 e^{2} z + 10 e^{3} y + 40 yz

\frac{d}{d x} ((2 - x) e^{x}) + 2 - x

- 5 (2 x + 2 y = - 20)

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

(y = 2, x - 6) (7 x - y = - 12)

\frac{( 4 - 2 t ) e ^{- s t}}{s}

What is expand (3e^2+5y)(2e^3+8z) ?
The solution to expand (3e^2+5y)(2e^3+8z) is 6e^5+24e^2z+10e^3y+40yz