Advertisements
Advertisements
प्रश्न
Factorise the following:
12x2 + 36x2y + 27y2x2
उत्तर
3x2[4 + 12y + 9y2]
= 3x2[9y2 + 12y + 4]
Product = 9 × 4 = 36, sum = 12
Split the middle term as 6y and 6y
12x2 + 36x2y + 21y2x2 = 3x2[9y2 + 12y + 4]
= 3x2[9y2 + 6y + 6y + 4]
= 3x2[3y(3y + 2) + 2(3y + 2)]
= 3x²(3y + 2)(3y + 2)
= 3x2(3y + 2)2
APPEARS IN
संबंधित प्रश्न
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials
`p(x)=2x^2-x+4`
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
Find α and β, if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.
If x − 2 is a factor of the following two polynomials, find the values of a in each case x5 − 3x4 − ax3 + 3ax2 + 2ax + 4.
If x + 2 is a factor of x2 + mx + 14, then m =
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of
Factorise the following:
z² + 4z – 12
(a + b – c)2 is equal to __________
