Hello oddworld7836!

Factor the expression into an equivalent form 12y² - 75.


By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...

Now, bring the 3 (common factor) & rewrite the complete expression.

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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ℓu¢αzz ッ
Option B is correct. (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) satisfies the commutative property of multiplication
Given two values A and B, according to the commutative property of multiplication;
This shows that the product of A and B stays the same no matter the arrangement.
From the given option, we can see that (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) satisfies the commutative property of multiplication where we can say;
A = 4 + 2i and B = 3 - 5i
Learn more here: brainly.com/question/17955280
The equation
shows that the diagonals are congruent perpendicular bisectors.
The vertices of the square are given as:
- c = (1,1)
- d = (3,1)
- e =(3,-1)
- f = (1,-1)
<h3>How to determine the
congruent perpendicular bisectors.</h3>
Start by calculating the slope of diagonal ce using:

So, we have:



Next, calculate the slope of diagonal df using:

So, we have:



The slopes of both diagonals are:


By comparing both slopes, we have:

i.e.

Hence,
shows that the diagonals are congruent perpendicular bisectors.
Read more about perpendicular bisectors at:
brainly.com/question/11006922
My answer to this question: You might be able to cope up with future issues more easily.
Dealing with negative emotions is hard u have resist yourselves before these destructive emotions gets into you. Evaluating the causes of your issue will make u understand what was right to u in that situation and will help u learn about yourself more and improve your behaviour or avoid such negative people in your life. Hence it helps u to improve your mistakes and will make u cope up with the future.
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