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
Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : a2 − 2a + {5a2 − (3a - 4a2)}
Simplify : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`
Simplify: a5 ÷ a3 + 3a × 2a
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Write the following in the simplest form:
(b-2 - a-2) ÷ (b-1 - a-1)
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
Simplify the following:
`(3^(x + 1) + 3^x)/(3^(x + 3) - 3^(x + 1)`
