Advertisements
Advertisements
Question
Factorise the expression and divide them as directed:
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
Advertisements
Solution
We have,
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
= `(x^4 - 16)/(x^3 + 2x^2 + 4x + 8)`
= `((x^2)^2 - 4^2)/(x^2(x + 2) + 4(x + 2))`
= `((x^2 + 4)(x^2 - 4))/((x^2 + 4)(x + 2))` ...[∵ a2 – b2 = (a + b)(a – b)]
= `(x^2 - 2^2)/(x + 2)`
= `((x + 2)(x - 2))/(x + 2)`
= x – 2
APPEARS IN
RELATED QUESTIONS
Factorise : 16p4 – 1
The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
a2 – b2 = (a + b) ______.
Using suitable identities, evaluate the following.
9.8 × 10.2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
25ax2 – 25a
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
8a3 – 2a
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
The base of a parallelogram is (2x + 3 units) and the corresponding height is (2x – 3 units). Find the area of the parallelogram in terms of x. What will be the area of parallelogram of x = 30 units?
