Answer :
Final answer:
The FOIL (First, Outer, Inner, Last) method is used for expanding the product of two binomials. Each acronym term refers to the terms in the binomials that you multiply together. The process combines the multiplied terms to achieve the final simplified expression.
Explanation:
It seems there may be a misunderstanding in the question provided as FOIL (First, Outer, Inner, Last) method is usually used for expanding the product of two binomials, and not for simplifying expressions as the ones stated
[tex](1) 10x^2 + 45x + 35 \\2) 10x^2 - 45x + 35 \\3) 10x^2 - 25x - 35 \\4) 10x^2 + 25x - 35.[/tex]
For simplifying these types of expressions, we usually arrange the terms in decreasing order of their powers and combine like terms if respective. FOIL is used when we have an expression such as (a+b)(c+d), wherein:
- The term First refers multiplying the first terms in each binomial, ac.
- Outer means you multiply the outer terms in the expression, which in this case are ad.
- Inner refers to the multiplication of the inner terms bc.
- Last means you multiply the last terms of each binomial, bd.
Example of FOIL method:
Suppose we have [tex](x+3)(x-2)= x^2 -2x +3x -6 \\= x^2 + x -6[/tex]
after combining like terms.
Learn more about FOIL Method here:
https://brainly.com/question/37724553
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