question no 3 please solve it quickly
Q.2 Factorise:
Q.4 The lateral surface area of a cylinder of length 14m is 220m2. Find he volume of the cylinder.
Q.5. Find the area of given figure ABCDEFG as per dimensions given in it.
Hello Kumar,
i)
x^3 - 3 x^2 + x - 3
==> x^2 ( x - 3) + 1( x - 3)
==> (x + 3) ( x^2 + 1)
ii)
63 x^2 y^2 - 7
==> 7(9x^2 y^2 - 1) = 7 [(3xy)^2 - 1] = 7 ( 3x y + 1) (3x y - 1)
iii) 1 + 6x + 9 x^2
1 + 3 x + 3 x + 9 x^2
(1 + 3x) + 3x ( 1 + 3x)
==> (1 + 3x) (1 + 3x)
iv) 7x^2 - 19 x - 6
7x^2 - 21 x + 2 x - 6
7 x ( x - 3) + 2( x - 3)
==> (x - 3) ( 7x + 2)
i)
x^3 - 3 x^2 + x - 3
==> x^2 ( x - 3) + 1( x - 3)
==> (x + 3) ( x^2 + 1)
ii)
63 x^2 y^2 - 7
==> 7(9x^2 y^2 - 1) = 7 [(3xy)^2 - 1] = 7 ( 3x y + 1) (3x y - 1)
iii) 1 + 6x + 9 x^2
1 + 3 x + 3 x + 9 x^2
(1 + 3x) + 3x ( 1 + 3x)
==> (1 + 3x) (1 + 3x)
iv) 7x^2 - 19 x - 6
7x^2 - 21 x + 2 x - 6
7 x ( x - 3) + 2( x - 3)
==> (x - 3) ( 7x + 2)