Advertisements
Advertisements
Question
What should be added to x3 + 3x2y + 3xy2 + y3 to get x3 + y3?
Advertisements
Solution
In order to find the solution subtract x3 + 3x2y + 3xy2 + y3 from x3 + y3
Required expression is x3 + y3 – (x3 + 3x2y + 3xy2 + y3) = x3 + y3 – x3 – 3x2y – 3xy2 – y3
On combining the like terms,
= x3 – x3 + y3 – y3 – 3x2y – 3xy2
= –3x2y – 3xy2
So, if we add –3x2y – 3xy2 in x3 + 3x2y + 3xy2 + y3, we get x3 + y3.
APPEARS IN
RELATED QUESTIONS
Add the following:
l2 + m2, m2 + n2, n2 + l2, 2lm + 2mn + 2nl
Add: 14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy, 4xy
Subtract: 5a2 - 7ab + 5b2 from 3ab - 2a2 -2b2
Add the following algebraic expression:
3a2b, − 4a2b, 9a2b
Add the following algebraic expression:
\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
The expressions 8x + 3y and 7x + 2y cannot be added
The addition of 3mn, – 5mn, 8mn and – 4mn is
Add: 2a + b + 3c and `"a" + 1/3"b" + 2/5"c"`
Add:
9ax + 3by – cz, –5by + ax + 3cz
Write two different algebraic expressions for the word phrase “`(1/4)` of the sum of x and 7.”
