Subtract `5x^2 – 4y^2 + 6y – 3` from `7x^2 – 4xy + 8y^2 + 5x – 3y`.

Simplify combining like terms: 5x^2y – 5x^2 + 3yx^2 – 3y^2 + x^2 – y^2 + 8xy^2 – 3y^2

Add : 4y (3y^2 + 5y – 7) and 2 (y^3 – 4y^2 + 5)

Subtract 8x ( x- y) from 3x ( x + y) - 6y ( x- y)

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories x + y, 1000, x + x^2 + x^3 + x^4, 7 + y + 5x, 2y – 3y^2, 2y – 3y^2 + 4y^3, 5x – 4y + 3xy, 4z – 15z^2, ab + bc + cd + da, pqr, p^2q + pq^2, 2p + 2q

What should be taken away from 3x^2 – 4y^2 + 5xy + 20 to obtain – x^2 – y^2 + 6xy + 20 ?

Add: 7xy + 5yz – 3zx, 4yz + 9zx – 4y , –3xz + 5x – 2xy.

Add: 4x^2y, – 3xy^2, –5xy^2, 5x^2y

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

Subtract: 5x-3y-4 from 8x-7y+5.

Identify like terms in the following – xy^2, – 4yx^2, 8x^2, 2xy^2, 7y, – 11x^2, – 100x, – 11yx, 20x^2y, – 6x^2, y, 2xy, 3x