In the example (x + 2)(3x - 5) The X multiplied by ______ and ______. The 2 multiply by______ and ______. Combine ______ ______ to arrive at the final answer
how about you use the distributive property and write it like this
= x (3 x - 5)
+ 2 (3 x- 5)
= 3 x^2 - 5 x
+ 6 x - 10
combine the like terms -5 x + 6 x = x
so we have
3 x^2 + x - 10
To answer this question, let's break down the expression (x + 2)(3x - 5) and identify the terms that result from multiplying each pair of terms within the parentheses.
First, let's multiply the two x terms: x multiplied by 3x results in 3x^2.
Next, let's multiply the two constant terms: 2 multiplied by -5 results in -10.
Now, let's multiply the x term with the constant term: x multiplied by -5 results in -5x.
Finally, let's multiply the constant term with the x term: 2 multiplied by 3x results in 6x.
To find the final answer, we combine like terms, which means we combine terms that have the same variables and exponents. In this case, the like terms are 3x^2, -5x, and 6x.
Combining -5x and 6x gives us x. Therefore, the final answer is 3x^2 + x - 10.