Advertisements
Advertisements
Question
Divide x6 – y6 by the product of x2 + xy + y2 and x – y.
Advertisements
Solution
Product of (x2 + xy + y2) and (x − y)
= (x − y) (x2 + xy + y2)
= x(x2 + xy + y2) − y(x2 + xy + y2)
= x3 + x2y + xy2 − x2y − xy2 − y3
= x3 − y3
Now, (x6 − y6) ÷ (x3 − y3)
= x3 + y3
`"x"^3-"y"^3)overline("x"^6 -"y"^6)("x"^3+"y"^3`
x6 − x3y3
− +
x3y3 − y6
x3y3 − y6
− +
×
APPEARS IN
RELATED QUESTIONS
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Factorise the expression and divide them as directed.
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
Factorise the expression and divide them as directed.
39y3(50y2 − 98) ÷ 26y2(5y + 7)
Find the greatest common factor (GCF/HCF) of the following polynomial:
4a2b3, −12a3b, 18a4b3
Find the greatest common factor (GCF/HCF) of the following polynomial:
x3, − yx2
Divide: x6 − 8 by x2 − 2
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
Find the quotient and the remainder when 3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. in case, verify your answer.
