Multiply
5a^3+4a^2 8b^6-6ab^6
_________ * __________
6ab-8b 5a^2+4a
use brackets and type fractions this way:
(5a^3 + 4a^2)/(6ab - 8b) * (8b^2 - 6ab^6)/(5a^2 + 4a(
= ( a^2(5a+4) )/( 2b(3a - 4) ) * (2b^6(4-3a))/(a(5a+4))
= ab^5 (-1)
= -ab^5 , a≠0, b≠0, a≠4/3, a ≠-4/5
To multiply the given expressions, we can follow these steps:
Step 1: Break down the expressions into factors:
5a^3 + 4a^2 = a^2(5a + 4)
8b^6 - 6ab^6 = -2b^6(3a - 4)
Step 2: Simplify the expressions:
6ab - 8b = 2b(3a - 4)
5a^2 + 4a = a(5a + 4)
Step 3: Multiply across the numerator and denominator:
(a^2(5a + 4) * -2b^6(3a - 4)) / (2b(3a - 4) * a(5a + 4))
Step 4: Simplify and cancel out common factors:
(a^2 * -2b^6) / (2b * a) = (-2ab^5)
So, the simplified expression is -2ab^5.