(2x−3)×(5x−7)
To answer this exercise, we need to understand how the extended distributive property works:
For example:
(a+1)∗(b+2)
To solve this type of exercises, the following steps must be taken:
Step 1: multiply the first factor of the first parentheses by each of the factors of the second parentheses.
Step 2: multiply the second factor of the first parentheses by each of the factors of the second parentheses.
Step 3: group like terms together.
ab∗2a∗b∗2
We start from the first number of the exercise: 2x
2x*5x+2x*-7
10x²-14x
We will continue with the second factor: -3
-3*5x+-3*-7
-15x+21
We add all the data together:
10x²-14x-15x+21
10x²-29x+21