Advertisements
Advertisements
Question
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Advertisements
Solution
\[\frac{( a^2 + 2ab + b^2 ) - ( a^2 + 2ac + c^2 )}{(2a + b + c)}\]
\[ = \frac{(a + b )^2 - (a + c )^2}{(2a + b + c)}\]
\[ = \frac{(a + b + a + c)(a + b - a - c)}{(2a + b + c)}\]
\[ = \frac{(2a + b + c)(b - c)}{(2a + b + c)}\]
\[ = b - c\]
APPEARS IN
RELATED QUESTIONS
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 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 |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Divide:
x4 − y4 by x2 − y2
7ab3 ÷ 14ab = 2b2
Divide: 81(p4q2r3 + 2p3q3r2 – 5p2q2r2) by (3pqr)2
