Resolve(17x²+14x + 9) – (-13x² +6x - 12)

30xsquared+20x+21

I'll try to be helpful and show the work. This is the method I learned last quarter.
(17x"sq"+14x+9)
+ (13x"sq"+6x+12)
=
(30X"sq"+20x+21)
I used the vertical method but the step are the same either way.

Step 1: Remove parentheses
Step 2: Combine like terms
Step 3: Simplify

I hoped I helped. Polynomials can be rather simple if you know the short cuts.
oh, and if you use the vertical method, don't forget to change the signs. When subtracting a negative it becomes adding a positive.

could you help me with this problem? y=3(x+5)(x-2)...the answer is supposed to be y=3xsquared+ 9x-30...how did they get the -30

To find the product of the expression (x+5)(x-2), you can use the distributive property.

Let's break down the steps:

1. Start with the expression: y = 3(x+5)(x-2).
2. Apply the distributive property to multiply the first term (3) by each term inside the parentheses:
y = 3 * x * (x-2) + 3 * 5 * (x-2).
3. Simplify each part of the expression:
y = 3x(x-2) + 15(x-2).
4. Apply the distributive property again to multiply the terms inside the parentheses:
y = 3x^2 - 6x + 15x - 30.
5. Combine like terms:
y = 3x^2 + 9x - 30.

Therefore, the correct answer is y = 3x^2 + 9x - 30.

I hope this explanation helps!