Answer:
Answer 21ab
Step-by-step explanation:
First you do 3 times 3a which you get 9a then to 3 times 4b and you get 12b. So 12b plus 9a equals 21ab
Expanding brackets is just your book's way of saying to use the distributive property and then simplify to solve each equation.
I'll show the work for a and b and then the answers for the rest.
a.
4(g + 5) - 4g
Multiply each part inside the parentheses by 4
4g + 4(5) - 4g
4g + 20 - 4g
Now combine like terms to simplify the equation. In this case, the 4g and - 4g cancel each other out.
4g - 4g + 20
0 + 20
20
20 is your answer.
b.
6(p + 4) + 2(p - 12)
Multiply each part of the first set of parentheses by 6 and the second set by 2
6p + 6(4) + 2p + 2(- 12)
6p + 24 + 2p - 24
Combine like terms
6p + 2p + 24 - 24
8p + 0
8p
8p is your answer
c. 6z
d. 3a + 8
e. 8a + 16 which simplifies 8(a + 2)
f. 32w + 16 which simplifies 16(2w + 1)
Answer:
96
Step-by-step explanation:
64 -[16 x (-3) – 2 x{17 – 25 }] I'm going to take a couple of steps that are very small and they can be combines along with other steps. Combine 16*-3
64 - [-48 - 2*(17 - 25)] Combine what is inside (17 - 25)
64 - [-48 - 2*(-8)] Combine -2*-8
64 - [-48 + 16] Combine what is in the brackets.
64 - [-32] Remove the brackets
64 + 32 Combine
96
The trick in this question is the signs.
