Using properties find (x+3)(x-4).

Using properties of determinants. Find the value of 'x' |(4-x,4+x,4+x),(4+x,4-x,4+x),(4-x,4+x,4+x)|=0

Find the product using suitable properties: 15 x (-25) x (-4) x (-10)

Find the product using suitable properties: 8 x 53 x (-125)

Evaluate the following integrals using properties of integration : int_(0)^(2pi) sin ^(4) x cos^(3) x dx

Using properties of proportion find x:y given: (x^(2)+2x)/(2x+4)=(y^(2)+3y)/(3y+9)

Evaluate the following integrals using properties of integration : int_(-(pi)/(4))^((pi)/(4))sin^(2)x dx

Using properties of determinants, prove that |(x+y, x,x),(5x + 4y ,4x, 2x),(10x+8y,8x,3x)| = x^(3) .

Using properties of determinants , find the value of k if |{:(x,y,x+y),(y,x+y,x),(x+y,x,y):}|=k(x^(3)+y^(3)) .