Answer:
3(a - b)(a + b)
Step-by-step explanation:
Factorize: (2a - b)² - (a - 2b)²
- Different of Perfect a Square rule: a² - b² = (a + b)(a - b)
(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]
1. Distribute and Simplify:
Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)
Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)
We now have:
(3a - 3b)(a + b)
2. Factor out the Greatest Common Factor (3) from 3a - 3b:
(3a - 3b) → 3(a - b)
3. Add "(a + b)" back into your factored expression:
3(a - b)(a + b)
Hope this helps!
Answer: Roots of a Quadratic .
Step-by-step explanation:
You will need 3 cans of paint to cover the two walls
<h3>
How many cans of paint will you need?</h3>
We know that 1 can will cover 200 square feet of wall.
And here we have 2 walls, let's find the total area of these walls.
wall 1 is 20ft by 8ft, then its area is:
A = 20ft*8ft = 160ft^2
wall 2 is 40t by 8 ft, then its area is:
A' = 40ft*8ft = 320ft^2
The total area is:
160ft^2 + 320ft^2 = 480ft^2
The number of cans of paint needed is given by the quotient between the total area and the area that each can cover.
N = 480ft^2/200ft^2 = 2.4
But we can't have a 0.4 of a can, so we should round to the next whole number, which is 3.
If you want to learn more about area:
brainly.com/question/24487155
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We are given some statements, we need to find which of the given statements is an advantage to using equations.
<h3><em>The correct option is </em></h3><h3><em>(A). When given two names for the same quantity, you can use algebra to solve the equations.</em></h3>
Incorrect options are :
(B). You can forget what an equation represents when it is used by itself.
(C). every problem needs an equations if you want to solve it.