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(iv) सिद्ध करें कि |{:(x,a,a),(a,x,a),(a...

(iv) सिद्ध करें कि `|{:(x,a,a),(a,x,a),(a,a,x):}|=(x-a)^(2)(x+2a)`

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|[x, a, a], [a, x, a], [a, a, x]| =(x +2)(x-a)^(2)

|{:(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4):}|=(5x+4)(x-4)^2

By using properties of determinants, show that |{:(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4):}|=(5x+4)(4-x)^(2)

Show that |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|=(5x+4)(4-x)^(2)

Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^2) .

By using properties of determinats. Prove that- |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)| = (5x + 4) (x - 4)^2

Solve : |(x+4, 2x,2x),(2x , x+4, 2x),(2x, 2x, x+4)| = 0

|(x+4, 2x, 2x),(2x, x +4, 2x),(2x, 2x ,x+4)| = (5x + 4)(4 - x)^(2) .

निम्नलिखित समीकरणों को गुणनखंड विधि द्वारा हल करें- (2x)/(x-3)+1/(2x+3)+(3x+9 )/((x-3)(2x+3))=0