Question

when can you factor expressions using difference of two squares?

Answer 1

Answer:

Factoring quadratics: Difference of squares. Learn how to factor quadratics that have the "difference of squares" form. For example, write x²-16 as (x+4)(x-4). Factoring a polynomial involves writing it as a product of two or more polynomials.

Answer 2

When an expression can be viewed as the difference of two perfect squares, i.e. $a^{2}-b^{2}$, then we can factor it as $(a+b)(a-b)$. This method is based on the pattern $(a+b)(a-b)=a^{2}-b^{2}$, which can be verified by expanding the parentheses in $(a+b)(a-b)$.

Step-by-step explanation:

• Factoring Difference of Two Squares.

• Get the square root of $25x^{2}$.

• Get the square root of $36y^{2}$.
• Copy the expression then change the sign to negative.
• Do the FOIL method to check if your answer is correct.
• Multiply the First terms.
• Multiply the Outer terms.
• Multiply the Inner terms.
• The difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity.

• Two condition: Whenever you have a binomial with each term being squared (having an exponent of 2) and they have subtraction as the middle sign, you are guaranteed to have the case of difference of two squares.