Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form. (x-2y)(x+y)

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Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.  (x-2y)(x+y)

Corgnatiui · Accepted Answer

Step 1  Given:  (x-2y)(x+y)  To Find:  Using FOIL method express the polynomial in standard form  Step 2  Explanation:  FOIL(First, Outer, Inner, Last)  So, (x−2y)(x+y)=x2+xy−2xy−2y2  ⇒(x−2y)(x+y)=x2−xy−2y2  Step 3  Answer:  (x−2y)(x+y)=x2−xy−2y2

scoollato7o · Accepted Answer

Multiply the binomials using the FOIL method.  (x-2y)(x+y)=x*x+x*y+(-2y)x+(-2y)y  Multiply the monomials using the laws of exponents.  x⋅x+x⋅y+(−2y)x+(−2y)y=x1+1+xy+(−2xy)+(−2y2)  =x2+xy−2xy−2y2  Combine the like terms using the distributive property.  x2+xy−2xy−2y2=x2+(1−2)xy−2y2  =x2+(−1)xy−2y2  =x2−xy−2y2  Therefore, the result is x2−xy−2y2.

Multiply the polynomials using the FOIL method. Express your answer

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