Question

How would you square the folliwing binomial by inspection:

x + m

Answer 1

To square the binomial x + m by inspection, use the FOIL method. The result is x^2 + 2mx + m^2.

Step-by-step explanation:

To square the binomial x + m by inspection, we use the FOIL method. FOIL stands for multiplying the First terms, Outer terms, Inner terms, and Last terms.

1. F: Multiply the first terms of both binomials, which is x multiplied by x to get x^2.
2. O: Multiply the outer terms of both binomials, which is x multiplied by m to get xm.
3. I: Multiply the inner terms of both binomials, which is m multiplied by x to get mx.
4. L: Multiply the last terms of both binomials, which is m multiplied by m to get m^2.

Combining all the terms, we get x^2 + xm + mx + m^2. Simplifying further, we have x^2 + 2mx + m^2.