Question

What is the value of 4 (x − 2) (x − 3) +7 (x − 2) (x - 5) - 6 (x − 3)(x - 5) when x = 5?

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Answer 1

24

Explanation:

To find the value of the expression 4(x - 2)(x - 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5, you can substitute the value of x into the expression and calculate it step by step:

4(x - 2)(x - 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

Now, substitute x = 5:

4(5 - 2)(5 - 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)

Now, simplify each part of the expression:

4(3)(2) + 7(3)(0) - 6(2)(0)

Now, calculate the products:

4(3)(2) = 24

7(3)(0) = 0

6(2)(0) = 0

Now, add these values together:

24 + 0 - 0 = 24

So, when x = 5, the value of the expression is 24.