Find the products `(a^2+b)(a+b^2)`

Find the product (2a + b+c) (4a ^(2) + b ^(2) + c ^(2) - 2ab -bc -2ca)

Find the proudct (a-b-c) (a ^(2) + b ^(2) + c ^(2) - ab + bc-ca) without actual multiplication.

Use a suitable identity to get each of the following products: (a^2+b^2)(-a^2+b^2)

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (2a^2+9)(2a^2+5)

Obtain the product of a,2b,3c,6abc

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (x+3)(x+7)

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^(2) - b^(2)) , 0) " and " (- sqrt(a^(2) - b^(2)), 0) to the line x/a cos theta + y/b sin theta = 1 " is " b^(2) .

Evaluate the product (3vec(a)-5vec(b)).(2vec(a)+7vec(b)) .

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (4x-5)(4x-1)

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (4x+5)(4x-1)