An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,
![(2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6](https://tex.z-dn.net/?f=%282x%2B3%29%28x%5E2%2Bx-2%29%5C%5C%5C%5C%3D%20%282x%20%5Ctimes%20x%5E2%29%2B%282x%20%5Ctimes%20%20x%29%20%2B%20%282x%5Ctimes%20-2%29%20%2B%20%283%5Ctimes%20x%5E2%29%2B%283%5Ctimes%20x%29%2B%283%5Ctimes%20%20-2%29%5C%5C%5C%5C%3D%202x%5E3%20%2B%202x%5E2-4x%2B3x%5E2%2B3x-6%5C%5C%5C%5C%3D%202x%5E3%2B5x%5E2-x-6)
Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
Learn more about Expression:
brainly.com/question/13947055
It would be 49 for half of 98
Answer:
(3a-1)(3a+1)
Step-by-step explanation:
We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.
x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1
A. 12,400.
1 Kilometer = 1000 meters, so 12.4*1000 = 12,400
Hope I helped :)