Advertisements
Advertisements
प्रश्न
Factorise the expression and divide them as directed:
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
Advertisements
उत्तर
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
संबंधित प्रश्न
Expand 4p2 – 25q2
Evaluate the following, using suitable identity
297 × 303
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
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)
Find the value of (x – y)(x + y)(x2 + y2)
(a + b)(a – b) = a2 – b2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`y^3 - y/9`
Factorise the expression and divide them as directed:
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
Find the value of `(6.25 xx 6.25 - 1.75 xx 1.75)/(4.5)`
