निम्नलिखित समीकरणों को हल कीजिए-
(i) `x(x+1)(x+3)(x+4)=180` (ii) `(2x+3)(2x+5)(x-1) (x-2)=30`
(iii) `(x-5) (x-7)(x+4)(x+6)=504` (iv) `x(2x+1)(x-2) (2x-3)=63`
(v) `(x^(2)-3x-10)(x^(2)-5x-6)=144` (vi) `(x+2)(3x+4) (3x+7)(x+3)=2400`

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)

(i) (x ^ (3) + 2x ^ (2) + 3x) -: 2x (ii) (10x-25) - :( 2x-5) (iii) (x (x + 1) (x + 2 ) (x + 3)) - :( x (x + 1))

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Simplyfy: (3x^(2) + 5x - 7)(x -1)- (x^(2) - 2x +3)(x + 4)

(i) (3x^(2) +4x-5)/x (ii) ((x^(3) +1)(x-2))/x^(2) (iii) (x-4)/(2sqrtx) (iv) (( 1+x)sqrtx)/root3(x) (v) (ax^(2) +bx+c)/sqrtx (vi) (a+b cos x)/sin x

Use suitable idntities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv) (x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x)

Use suitable identities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv) (x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x)