Question

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

Answer 1

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

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* 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

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

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`