Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers.
-$$( x + 7 y ) ( x + 2 y )$$
A) $x ^ { 2 } + 9 x y + 14 y ^ { 2 }$
B) $x + 9 x y + 14 y$
C) $x ^ { 2 } + 6 x y + 14 y ^ { 2 }$
D) $x ^ { 2 } + 9 x y + 9 y ^ { 2 }$

Question

Quizplus · Accepted Answer

The FOIL method involves multiplying the First terms, Outer terms, Inner terms, and Last terms of the binomials. Applying this to $(x + 7y)(x + 2y)$ gives: First: $x \cdot x = x^2$, Outer: $x \cdot 2y = 2xy$, Inner: $7y \cdot x = 7xy$, Last: $7y \cdot 2y = 14y^2$. Adding these together gives $x^2 + 9xy + 14y^2$.

Use the FOIL Method to Multiply the Binomials (x+7y)(x+2y)( x + 7 y ) ( x + 2 y )(x+7y)(x+2y)

Use the FOIL Method to Multiply the Binomials $( x + 7 y ) ( x + 2 y )$