Question

(a+b)(Q? - að + 4) = Q³ + 33 Which products result in a sum or difference of cubes? Check all that apply.

a) (a+4)(Q? - að + 4)
b) (a+3)(Q? - að + 4)
c) (a+5)(Q? - að + 4)
d) (a+6)(Q? - að + 4)

Answer 1

To identify the products that result in a sum or difference of cubes, we can compare the given equation (Q³ + 33) with the expanded form of the equation (a+b)(Q? - að + 4). From the comparison, we can determine that options a) and c) are the correct choices.

Step-by-step explanation:

When multiplying the polynomial (a+b) with another polynomial (Q? - að + 4), the resulting equation can be expanded using the distributive property. In this case, we are looking for products that result in a sum or difference of cubes, which means we are interested in terms that have the structure a³ - b³ or a³ + b³.

To identify the products that result in a sum or difference of cubes, we can compare the given equation (Q³ + 33) with the expanded form of the equation (a+b)(Q? - að + 4). From the comparison, we can determine that option a) (a+4)(Q? - að + 4) and option c) (a+5)(Q? - að + 4) are the correct choices.