SOLUTION: Explain the difference between performing these two operations. 2x2+3x2 and (2x2)(3x2) does this make sense and why or not

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 356785: Explain the difference between performing these two operations.
2x2+3x2 and (2x2)(3x2) does this make sense and why or not
Found 2 solutions by Theo, checkley77:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
2x^2 + 3x^2 = 5x^2

2x^2 * 3x^2 = 6x^2

in both cases you are using the distributive law to break out the common factor.

2x^2 + 3x^2 = (2 + 3) * x^2 = 5x^2

2x^2 * 3x^2 = (2 * 3) * x^2 = 6x^2

you always solve the expression from the inner set of parentheses first.

in the first case, the expression in the inner set of parentheses is an addition.

in the second case, the expression in the inner set of parentheses is a multiplication.

that appears to be the difference.

it makes sense because the laws of algebraic and arithmetic operations are being followed in both cases.

Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
2x2+3x2
Do you mean
2*2+3*2?
4+6=10 ans.
(2x2)(3x2)
(2*2)(3*2)
4*6=24 ans.
*******************
OR:
2x^2+3x^2
5x^2 ans.
(2x^2)(3x^2)
6x^4 ans.