Answer:
[tex]10x^2-25x-35[/tex]
Step-by-step explanation:
The FOIL method is used to multiply two binomials.
FOIL stand for:
First : Multiply the first term in each set of parenthesis.
Outer : Multiply the outer term in each set of parenthesis.
Inner : Multiply the inner term in each set of parenthesis.
Last: Multiply the last term in each set of parenthesis.
Given that:
[tex](2x-7)(5x+5)[/tex]
Using the foil method:
[tex]2x(5x+5)-7(5x+5)[/tex] [Using distributive property]
⇒[tex]10x^2+10x -(35x+35)[/tex]
⇒[tex]10x^2+10x -35x-35[/tex]
Combine like terms:
⇒[tex]10x^2-25x-35[/tex]
Therefore, the product of (2x – 7)(5x+5) using FOIL method is, [tex]10x^2-25x-35[/tex]
