Answer:
A. (10x^2) / (5x + 4y)
B. (8xy) / (4y + 5x)
Explanation:
A. Factor the numerator and denominator, then cancel out like terms
(10x^2(2a + 3b)) / (2a(5x + 4y) + 3b(5x + 4y))
(10x^2(2a + 3b)) / ((2a + 3b)(5x + 4y))
(10x^2) / (5x + 4y)
B. Factor the numerator and denominator, then cancel out like terms.
(8xy(3p - 4q)) / (3p(5x + 4y) - 4q(4y + 5x))
(8xy(3p - 4q)) / ((3p - 4q)(4y + 5x))
(8xy) / (4y + 5x)