Answer:
- w² + 7wx + 34x²
Explanation:
Given
(2w + 3x)(w - 5x) - (3w + 7x)(w - 7x) ← expand factors using FOIL
= 2w² - 10wx + 3wx - 15x² - (3w² - 21wx + 7wx - 49x²) ← distribute by - 1
= 2w² - 7wx - 15x² - 3w² + 21wx - 7wx + 49x² ← collect like terms
= - w² + 7wx + 34x²