The answer is (5x - 4y)(2a + b)
10ax + 5bx - 8ay - 4by = 10ax + 5bx - (8ay + 4by) =<span>
= 5x * 2a + 5x * b - (2a * 4y + b * 4y) =
= 5x(2a + b) - 4y(2a + b) =
= (5x - 4y)(2a + b)</span>
Answer: (x−2)(x−2)
The middle number is -4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get 4
Can you think of the two numbers?
Try -2 and -2:
-2+-2 = -4
-2*-2 = 4
Fill in the blanks in
(x+_)(x+_)
with -2 and -2 to get...
(x-2)(x-2)
Answer:
(x−2)(x−2)
so the answer is D.
n, n + 2, n + 4 - three consecutive even integers
3n = 2(n + 4) + 4 |use distributive property
3n = (2)(n) + (2)(4) + 4
3n = 2n + 8 + 4
3n = 2n + 12 |subtract 2n from both sides
n = 12
n + 2 = 12 + 2 = 14
n + 4 = 12 + 4 = 16
Answer: 12, 14, 16.
