(2x squared-3x +1)(4)(3x+2)cubed (3)+(3x +2)raised to the 4 (4x-3)
Simplify
Use ^ to mean to the power of, as in
2x^(2-3x) to mean 2x2-3x
I cant make any sense out of your statement as it is.
Sorry. Simplifying a Fractional Expression. Directions are to Simplify (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2^4(4x-3)
I don't know what to do.
Sorry. I posted it again. Hope this helps
To simplify the given expression, let's break it down step by step:
Step 1: Distribute (2x^2 - 3x + 1) with (4)(3x + 2)^3:
Start by distributing 4 to every term inside the parentheses:
(4)(3x + 2)^3 = 4 * (3x + 2) * (3x + 2) * (3x + 2)
Now we can simplify each part of the expression:
4 * (3x + 2) = 12x + 8
So, (4)(3x + 2)^3 can be simplified as (12x + 8) * (3x + 2)^2
Step 2: Simplify (3x + 2) raised to the 4th power:
(3x + 2)^4 = (3x + 2) * (3x + 2) * (3x + 2) * (3x + 2)
We can simplify each part of the expression:
(3x + 2) * (3x + 2) = 9x^2 + 12x + 4
So, (3x + 2)^4 can be simplified as (9x^2 + 12x + 4) * (3x + 2)^2
Step 3: Multiply the simplified expressions from Step 1 and Step 2:
To multiply these expressions, you need to distribute each term from one expression to each term of the other expression.
(12x + 8) * (9x^2 + 12x + 4) can be simplified as:
12x * (9x^2 + 12x + 4) + 8 * (9x^2 + 12x + 4)
Simplify each part further:
12x * (9x^2 + 12x + 4) = 108x^3 + 144x^2 + 48x
8 * (9x^2 + 12x + 4) = 72x^2 + 96x + 32
Now add the two simplified expressions together:
108x^3 + 144x^2 + 48x + 72x^2 + 96x + 32
Combine like terms to simplify the expression:
108x^3 + 216x^2 + 144x + 32
Therefore, the simplified expression is 108x^3 + 216x^2 + 144x + 32.