Mathematics MCQs

Set x=0: 4y=8 ? y=2. So, (0,2).

y=4 is a horizontal line.

x=-2 is a vertical line.

A linear equation in two variables has infinitely many solutions.

Multiply coefficients: \\(3 \times -2 = -6\\). Multiply variables: \\(x^2 \cdot x = x^3\\), \\(y \cdot y^3 = y^4\\). So, \\(-6x^3y^4\\).

A binomial has exactly two terms. \\(2x + 5\\) has two terms.

The degree is the highest sum of exponents in a term: \\(x^3y^2\\) has degree 5, \\(xy^4\\) has degree 5, constant has degree 0.

The identity for the square of a difference is \\((a - b)^2 = a^2 - 2ab + b^2\\).

The common factor is \\(6x\\). So, \\(6x(x - 2y)\\).

This is a difference of squares: \\((a+b)(a-b) = a^2 - b^2\\). Here, \\(a=5x, b=2y\\), so \\(25x^2 - 4y^2\\).