Advertisements
Advertisements
Question
Simplify `("p"^2 - 10"p" + 21)/("p" - 7) xx ("p"^2 + "p" - 12)/("p" - 3)^2`
Advertisements
Solution
P2 – 10p + 21 = (p – 7) (p – 3)
p2 + p – 12 = (p + 4) (p – 3)
`("p"^2 - 10"p" + 21)/(("p" - 7)) xx ("p"^2 + "p" - 12)/("p" - 3)^2 = (("p" - 7)("p" - 3))/(("p" - 7)) xx (("p" + 4)("p" - 3))/("p" - 3)^2`
= `("p" - 3) xx (("p" + 4))/(("p" - 3))`
= p + 4
APPEARS IN
RELATED QUESTIONS
Reduce the following rational expression to its lowest form
`(x^2 - 1)/(x^2 + x)`
Reduce the following rational expression to its lowest form
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`
Find the excluded values, of the following expression
`(x^3 - 27)/(x^3 + x^2 - 6x)`
Simplify `(5"t"^3)/(4"t" - 8) xx (6"t" - 12)/(10"t")`
Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Simplify `(12"t"^2 - 22"t" + 8)/(3"t") ÷ (3"t"^2 + 2"t" - 8)/(2"t"^2 + 4"t")`
Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`
Subtract `1/(x^2 + 2)` from `(2x^3 + x^2 + 3)/(x^2 + 2)^2`
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.
