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
Factorise the following expressions
m2 + m – 72
Evaluate the following, using suitable identity
990 × 1010
(5 + 20)(–20 – 5) = ?
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
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).
(x + y)4 – (x – y)4
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
