Question

Find F, if F = (3x + 2y)4​

Answer 1

Answer:

F = 12x + 8y

Explanation:

(3x + 2y)4

= (3x * 4) + (2y * 4)

= 12x + 8y .(ANS)

Answer 2

Answer:

The value of $F=12 x+8 y$

Explanation:

Given: $F = (3x + 2y)4$

The law connecting multiplication and addition is written as $a (b + c) = ab + ac$

which means that the monomial factor an is distributed, or independently applied, to each term of the binomial factor $b + c$, yielding the product $ab + ac.$

$\begin{aligned}&(3 x+2 y) \cdot 4 \\&=4(3 x+2 y)\end{aligned}$

Apply the distributive law:

$a(b+c)=a b+a c$

$\begin{aligned}&4(3 x+2 y)=4 \cdot 3 x+4 \cdot 2 y \\&=4 \cdot 3 x+4 \cdot 2 y\end{aligned}$

Simplify $4 \cdot 3 x+4 \cdot 2 y$

$=12 x+8 y$