`((15.4)^2-(35.4)^2)/25=`

Using suitable identity evaluate the (35.4) ^(2) - (14.6) ^(2)

(4)/(15)+(6)/(35)

|{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......

Find the product : (i) (x+3)(x^(2)-3x+9) " " (ii) (7+5b)(49-35b+25b^(2)) (iii) (5a+(1)/(2)) (25a^(2)-(5a)/(2)+(1)/(4)) " " (iv) (a+b-2)[a^(2)+b^(2)+4(a+b)+4] .

Evaluate: (6^(4)xx9^(2)xx25^(3))/(3^(2)xx4^(2)xx15^(6))

f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)} . Does the function is invertible?

Simplify the following to a rational number ([4+sqrt(15)]^(3//2)+[4-sqrt(15)]^(3//2))/([6+sqrt((35))]^(3//2)-[6-sqrt((35))]^(3//2))