Advertisements
Advertisements
Question
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Advertisements
Solution
7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
`=7"x"+4{"x"^2 ÷ ((5"x")/10)}-3{2-"x"^3÷((3"x"^2)/"x")}`
`=7"x"+4{"x"^2÷"x"/2}-3{2-"x"^3÷3"x"}`
`=7"x"+4{"x"^2xx2/"x"}-3{2-"x"^3/(3"x")}`
= 7x + 8x − 6 +x2
= x2 + 15x − 6
APPEARS IN
RELATED QUESTIONS
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : −3 (1 − x2) − 2{x2 − (3 − 2x2)}
Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`
Write each of the following in the simplest form:
a-3 x a2 x a0
Simplify the following and express with positive index:
`[("p"^-3)^(2/3)]^(1/2)`
Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
Simplify the following:
`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`
Simplify the following:
`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
