Advertisements
Advertisements
प्रश्न
Simplify : `2{m-3(n+overline(m-2n))}`
Advertisements
उत्तर
`2{m-3(n+overline(m-2n))}`
The overline indicates grouping. Simplify `\overline{m - 2n}`:
`\overline(m−2n)=m−2n`
Substitute this back into the expression
2{m − 3(n + (m − 2n))}
Simplify n + (m − 2n)
n + m − 2n = m − n
2{m − 3(m − n)}
Distribute −3 across (m−n):
−3(m − n) = −3m + 3n
2{m + (−3m + 3n)}
m − 3m + 3n = −2m + 3n
Distribute 2 across −2m + 3n
2(−2m + 3n) = −4m + 6n
−4m + 6n
APPEARS IN
संबंधित प्रश्न
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)]`
Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`
Simplify: x5 ÷ (x2 × y2) × y3
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 and express with positive index:
`[("p"^-3)^(2/3)]^(1/2)`
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Simplify the following:
`((64"a"^12)/(27"b"^6))^(-2/3)`
Simplify the following:
`((36"m"^-4)/(49"n"^-2))^(-3/2)`
