Question

Simplify (2x+5y)(3x-8y)

Answer 1

Answer: =
`6x^(2)` − xy −
`40y^(2)`

Explanation:

{Apply\:FOIL\:method}:\quad

\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

a=2x,\:b=5y,\:c=3x,\:d=-8y

{Apply\:minus-plus\:rules}

+\left(-a\right)=-a

=2\cdot \:3xx-2\cdot \:8xy+5\cdot \:3xy-5\cdot \:8yy

Simplify 2 · 3xx − 2 · 8xy + 5 · 3xy − 5 · 8yy: 6x − xy − 40y

2 2

=
`6x^(2)` − xy −
`40y^(2)`

Hope This Helps!