If this is for factoring, here’s how to do it.
7. 45n^2-5
-first, ask yourself what common factor does 45n^2 and 5 have? The answer is that they’re both divisible by 5
-next you want to expand this expression by dividing 5 out and rewriting it in multiplication. If you completely remove the 5 from the expression, you have created a new and different expression (which is not the goal). And so you will have: 5(9n^2-1)
-now we have to expand 9n^2-1. We know that (a-b)(a+b)=a^2-b^2; once you foil and multiply the expression, you’ll notice you cancelled ab with ab. So for this problem, you need to see what will make 9 and 1 once you square them(It’s 3 and 1).
-what you should have now is 5(3n-1)(3n+1). But ways check by foiling your answer to see if you end up with the same expression.
9. 45a^3-80a
what is similar about 45a^3 and 80a?
- both divisible by 5a
5a(9a^2-16)
what do you square to get 9 and 16
- 3 and 4
5a(3a-4)(3a+4)
When it comes to bigger numbers, use the quadratic formula to find the variables that‘ll be part of your factored answers(Remember to apply the opposite sign/operation when you insert the numbers you got from the formula - because the numbers from the formula are the solutions ex. If I got 3 and -4 from the formula, my factored expression would be (X-3)(X+4))
9514 1404 393
Answer:
y = -2x² +5x -11
Step-by-step explanation:
Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.
y = -2x² +5x -11
Answer:
72
Step-by-step explanation:
you multiply the length and the width
Answer: ∠ERT and ∠MRC
Step-by-step explanation:
When two lines intersect each other they make a cross (X) and the angles opposite each other when two lines cross (X) are called the vertical opposite angles. They are also known as vertical angles.
Vertically opposite angles are always equal.
From the given options, only ∠ERT and ∠MRC are the pair of angles that vertical angles.