Advertisements
Advertisements
Question
Divide:
ax2 − ay2 by ax + ay
Advertisements
Solution
\[\frac{a x^2 - a y^2}{ax + ay}\]
\[ = \frac{a( x^2 - y^2 )}{a(x + y)}\]
\[ = \frac{a(x + y)(x - y)}{a(x + y)}\]
\[ = x - y\]
RELATED QUESTIONS
Divide −4a3 + 4a2 + a by 2a.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
7ab3 ÷ 14ab = 2b2
