Question

What is this in strand are from (3k-6)(k+7)

Answer 1

The expression (3k-6)(k+7) is a binomial multiplication problem, which after using the FOIL method and combining like terms, simplifies to 3k^2 + 15k - 42.

Step-by-step explanation:

The expression given in the question is a binomial multiplication problem. To solve this, we use the FOIL method stands for First, Outer, Inner, and Last terms multiplication. Here's the step-by-step process:

1. Multiply the First terms in each binomial:
   3k * k = 3k^2.
2. Multiply the Outer terms in each binomial:
   3k * 7 = 21k.
3. Multiply the Inner terms in each binomial:
   -6 * k = -6k.
4. Multiply the Last terms in each binomial:
   -6 * 7 = -42.

Now, combine like terms (21k and -6k):

3k^2 + 21k - 6k - 42

Simplify the expression:

3k^2 + 15k - 42

The final simplified form of the expression (3k-6)(k+7) is 3k^2 + 15k - 42.