Question

Whitch expression is equivlent to the expression 7(3x-2) + 4(x+5)

Answer 1

Answer:

$\Huge \boxed{25x+6}$

Step-by-step explanation:

$\large \textnormal{Distributive property}$, $\large \textnormal{A(B+C)=AB+AC}$.

$\displaystyle 7(3x-2)=21x-14$

$\displaystyle 21x-14+4(x+5)$

$\displaystyle 4(x+5)=4x,5\times 4=20, 4x+20$

$\Large\textnormal{Solve to find the answer.}$

$\displaystyle 21x-14+4x+20=25x+6$

$\Large \textnormal{Correct answer is \boxed{25x+6}.}$

Answer 2

Answer:

$\large\boxed{7(3x-2)+4(x+5)=25x+6}$

Step-by-step explanation:

$7(3x-2)+4(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(7)(3x)+(7)(-2)+(4)(x)+(4)(5)\\\\=21x-14+4x+20\qquad\text{combine like terms}\\\\=(21x+4x)+(-14+20)\\\\=25x+6$