Answer:
Multiplying Polynomials
- First, multiply each term in one polynomial by each term in the other polynomial using the distributive law.
- Add the powers of the same variables using the exponent rule.
- Then, simplify the resulting polynomial by adding or subtracting the like terms.
For example, for two polynomials, (6x−3y) and (2x+5y), write as: (6x−3y)×(2x+5y)
⇒ (6x−3y)×(2x+5y) = [6x × (2x+5y)] − [3y × (2x+5y)]
⇒ [6x × (2x+5y)] − [3y × (2x+5y)] = (12x2+30xy) − (6yx+15y2)
⇒ (12x2+30xy) − (6yx+15y2) = 12x2+24xy−15y2
