Advertisements
Advertisements
Question
Simplify : `3"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`
Advertisements
Solution
`3"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`
= 3x − [4x − 3x + 5 − 3 {2x − (3x − 2x + 3y)}]
= 3x − [4x − 3x + 5y − 3 {2x − (x + 3y)}]
= 3x − [4x − 3x + 5y − 3 {2x − x − 3y}]
= 3x − [x + 5y − 6x + 3x + 9y]
= 3x − [−2x + 14y]
= 3x + 2x − 14y
= 5x − 14y
APPEARS IN
RELATED QUESTIONS
Evaluate :
`[ 2^n xx 6^(m + 1 ) xx 10^( m - n ) xx 15^(m + n - 2)]/[4^m xx 3^(2m + n) xx 25^(m - 1)]`
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`
Simplify : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`
Simplify: (y3 − 5y2) ÷ y × (y − 1)
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Write each of the following in the simplest form:
(a3)5 x a4
Simplify the following:
`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`
Simplify the following:
`(5^x xx 7 - 5^x)/(5^(x + 2) - 5^(x + 1)`
Simplify the following:
`(3^(x + 1) + 3^x)/(3^(x + 3) - 3^(x + 1)`
