1 point Simplify the following expressionAssume any factors

(1 point) Simplify the following expression.Assume any factors you cancel are not zero. t-4 5t-20

Solution

1) t/(t-4) / 3/(5t -20)

[t/(t-4)]*(5t-4)/3

= t(5t -4)/3(t-4)

2) 8/(5x +6y)*(5x+2y)/(10)

= 8(5x +2y)/(10(5x +6y)

=4(5x +2y)/5(5x+6y)

= (20x +8y)/(25x +30y)

3) 5/a + 7/b

(5*b +7*a)/a*b

(5b +7a)/ab

4) ( 48 +48/a +6/a^2)/ ( 48 +24/a)

(48a^2 +48a +6)/a^2(48a +24)/a

(48a^2 +48a +6)/a(48a +24)

divide numerator and denominator byb= 6:

(8a^2 +8a +1 )/(8a^2 +4)