Advertisements
Advertisements
Question
Divide:
ax2 − ay2 by ax + ay
Sum
Advertisements
Solution
\[\frac{a x^2 - a y^2}{ax + ay}\]
\[ = \frac{a( x^2 - y^2 )}{a(x + y)}\]
\[ = \frac{a(x + y)(x - y)}{a(x + y)}\]
\[ = x - y\]
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Divide 24a3b3 by −8ab.
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide 4y2 + 3y +\[\frac{1}{2}\] by 2y + 1.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 and find the quotient and remainder.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Divide:
x2 − 5x + 6 by x − 3
8x3y ÷ 4x2 = 2xy
