<h3>
Answer: D) y+3</h3>
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Explanation:
Point A is located at (3,1). Point A' is located at (-5,4)
To move from A to A', we'll do two things:
- Move 8 units to the left
- Move 3 units up
The "8 units to the left" portion has us go from x to x-8
The "3 units up" part involves y becoming y+3
So that's how we get the translation rule 
. The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).
Let's try this translation rule on point B to see if we arrive at the proper location of B'
B is at (2,6) which means
which matches up what the diagram shows. I'll let you verify that the rule also works for point C.
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!
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