Advertisements
Advertisements
प्रश्न
Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
Advertisements
उत्तर
`(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
`= (173^2 + 127^3)/(173^2 - 173 xx 127 + 127^2)`
`= ((173 + 127)(173^3 - 173 xx 127 + 127^2))/(173^2 - 173 xx 127 + 127^2)` `[∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= (a - 1/a)(a^2 + 1 + 1/a^2) - 2(a - 1/a)`
`= (a - 1/a)(a^2 + 1 + 1/a^2 - 2)`
`= (a - 1/a)(a^2 + 1/a^2 - 1)`
`∴ a^3 - 1/a^3 - 2a + 2/a = (a - 1/a)(a^2 + 1/a^2 - 1)`
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operation.
Subtraction of z from y
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
Factorize x4 + x2 y2 + y4
Factorize the following expressions:
x3y3 + 1
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
Write the value of 303 + 203 − 503.
Factorize: x4 + x2 + 25.
Evaluate: (3c - 5d)(4c - 6d)
Divide: 4a2 - a by - a
An equation is true for all values of its variables.
