Advertisements
Advertisements
प्रश्न
Factorise the expression and divide them as directed:
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
Advertisements
उत्तर
We have,
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
= `(2x^3 - 12x^2 + 16x)/((x - 2)(x - 4))`
= `(2x(x^2 - 6x + 8))/((x - 2)(x - 4))`
= `(2x(x^2 - 4x - 2x + 8))/((x - 2)(x - 4))`
= `(2x[x(x - 4) - 2(x - 4)])/((x - 2)(x - 4))`
= `(2x(x - 4)(x - 2))/((x - 2)(x - 4))`
= 2x
APPEARS IN
संबंधित प्रश्न
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
25a2 – 49b2
Using suitable identities, evaluate the following.
(35.4)2 – (14.6)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).
`x^2/8 - y^2/18`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`1/36a^2b^2 - 16/49b^2c^2`
Factorise the expression and divide them as directed:
(9x2 – 4) ÷ (3x + 2)
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
Find the value of a, if 8a = 352 – 272
Find the value of a, if pq2a = (4pq + 3q)2 – (4pq – 3q)2
