Advertisements
Advertisements
प्रश्न
Divide x6 – y6 by the product of x2 + xy + y2 and x – y.
उत्तर
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
संबंधित प्रश्न
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Factorise the expression and divide them as directed.
(y2 + 7y + 10) ÷ (y + 5)
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
Factorise the expression and divide them as directed.
(5p2 − 25p + 20) ÷ (p − 1)
Factorise the expression and divide them as directed.
5pq(p2 − q2) ÷ 2p(p + q)
Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax2, 6a2x3 and 2a3x5
Find the greatest common factor (GCF/HCF) of the following polynomial:
x3, − yx2
Divide: a2 + 7a + 12 by a + 4
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
