Answer:
16+5w
Step-by-step explanation:
2(5 + w) + 3(w + 2)
5+w evaluates to 5+w
Multiply 2 by 5+w
we multiply 2 by each term in 5+w term by term.
This is the distributive property of multiplication.
Multiply 2 and 5
1
2 × 5 = 10
Multiply 2 and w
Multiply 1 and w
The w just gets copied along.
w
2 × w = 2w
2*(5+w) evaluates to 10+2w
w+2 evaluates to w+2
Multiply 3 by w+2
we multiply 3 by each term in w+2 term by term.
This is the distributive property of multiplication.
Multiply 3 and w
Multiply 1 and w
The w just gets copied along.
w
3 × w = 3w
Multiply 3 and 2
1
3 × 2 = 6
3*(w+2) evaluates to 3w+6
To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
10 + 6 = 16
2w + 3w = 5w
The answer is 16+5w
2*(5+w)+3*(w+2) evaluates to 16+5w
The final answer is
16+5w
