What is expand (-7x^7+6x^9)(3ex+8) ?

The solution to expand (-7x^7+6x^9)(3ex+8) is 18ex^{10}+48x^9-21ex^8-56x^7

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expand (-7x^7+6x^9)(3ex+8)

expand

(- 7 x^{7} + 6 x^{9}) (3 e x + 8)

18 e x^{10} + 48 x^{9} - 21 e x^{8} - 56 x^{7}

Solution steps

(- 7 x^{7} + 6 x^{9}) (3 e x + 8)

Apply FOIL method:

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

a = - 7 x^{7}, b = 6 x^{9}, c = 3 e x, d = 8

= (- 7 x^{7}) \cdot 3 e x + (- 7 x^{7}) \cdot 8 + 6 x^{9} \cdot 3 e x + 6 x^{9} \cdot 8

Apply minus-plus rules

+ (- a) = - a

= - 7 \cdot 3 e x^{7} x - 7 \cdot 8 x^{7} + 6 \cdot 3 e x^{9} x + 6 \cdot 8 x^{9}

Simplify

- 7 \cdot 3 e x^{7} x - 7 \cdot 8 x^{7} + 6 \cdot 3 e x^{9} x + 6 \cdot 8 x^{9} : 18 e x^{10} + 48 x^{9} - 21 e x^{8} - 56 x^{7}

= 18 e x^{10} + 48 x^{9} - 21 e x^{8} - 56 x^{7}

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What is expand (-7x^7+6x^9)(3ex+8) ?
The solution to expand (-7x^7+6x^9)(3ex+8) is 18ex^{10}+48x^9-21ex^8-56x^7