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

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)

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)

Add: (i) 3x, 7x (ii) 7y, -9y (iii) 2xy, 5xy, -xy (iv) 3x, 2y (v) 2x^(2), -3x^(2), 7x^(2) (vi) 7xyz, -5xyz, 9xyz, - 8xyz (vii) 6a^(3) , - 4a^(3), 10 a^(3), - 8a^(3) (viii) x^(2) - a^(2), -5x^(2) + 2a^(2), -4x^(2) + 4a^(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)

int(x^(9)dx)/((4x^(2)+1)^(9)) isequa

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

Write the according monomials in the ascending order according to their degrees: 1/5x^(11),-5x^(7),4,5x^(10),2x^(3),x,9x^(5),3x^(2),a

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