2^(5x+4)+2^(9)=2^(10)

Show that: (x^(2)+y^(2))^(5)=(x^(5)-10x^(3)y^(2)+5xy^(4))^(2)+(5x^(4)-10x^(2)y^(3)+y^(5))^(2)

If (x)/(y)=(1)/(3), then (x^(2)+y^(2))/(x^(2)-y^(2))=?(a)-(10)/(9) (b) (5)/(4)(c)-(5)/(4)(d)-(5)/(3)

Simplify: 9x^(4)(2x^(3)-5x^(4))x5x^(6)(x^(4)-3x^(2))

What is the HCF of 36(3x^(4)+5x^(3)-2x^(2)) , 9(6x^(3)+4x^(2)-2x),54(27 x^(4)-x) ?

Find the root common the system of equations log_(10)(3^(x)-2^(4-x))=2+1/4log_(10)16-x/2 log_(10)4 and log_(3) (3x^(2-13x+58)+(2)/(9))=log_(5)(0.2)

Degree of the polynomial 2x^(4)+3x^(3)-5x^(2)+9x+1 is

Expand: (i) (8a + 3b)^(2) (ii) (7x + 2y)^(2) (iii) (5x + 11)^(2) (iv) ((a)/(2) + (2)/(a))^(2) (v) ((3x)/(4) + (2y)/(9))^(2) (vi) (9x - 10)^(2) (vii) (x^(2) y - yz^(2))^(2) (viii) ((x)/(y) - (y)/(x))^(2) (ix) (3m - (4)/(5) n)^(2)