Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2

The video tutorial covers the process of factoring expressions, starting with identifying common factors and the greatest common factor (GCF). It introduces the diamond method to help factor expressions by multiplying and adding terms. The tutorial then explains how to rewrite middle terms to facilitate factoring by grouping, ultimately leading to the factored form of the expression.

What is the purpose of using the diamond method in factoring?

• To determine the degree of the polynomial

• To identify the greatest common factor

• To find two numbers that add to a specific sum

• To simplify the expression

Why is it necessary to rewrite the middle term in the expression?

• To change the degree of the polynomial

• To allow the expression to be factored by grouping

• To eliminate the constant term

• To simplify the coefficients

What is the result of factoring the expression by grouping?

• A product of two binomials

• A sum of monomials

• A single term

• A quadratic equation

Which of the following is a common factor in the expression after rewriting the middle term?

• 4X

• 3Y

• 2X - 3Y

• 8X^2

What is the final factored form of the expression?

• 4X + 3Y

• 8X^2 - 12XY + 6XY - 9Y^2

• 2X - 3Y

• (2X - 3Y)(4X + 3Y)