# Question #5e199

##### 2 Answers

#### Explanation:

#"a difference of two squares is what it says 2 square numbers"#

#"separated by a subtraction"#

#"for example"#

#25=5^2" and "16=4^2" are two squares"#

#"note that "25-16=9#

#"and " (5-4)(5+4)=1xx9=9#

#"this is the way they are factorised"#

#"in general "#

#•color(white)(x)a^2-b^2=(a-b)(a+b)#

#rArrb^2-16=(b-4)(b+4)#

#### Explanation:

The expression "difference or two squares describes exactly what is involved.

"Difference" means to subtract terms

"Two" there are are TWO terms involved

"Squares" are recognized by:

square numbers and variables with even powers.

(A square number is formed by multiplying a number by itself. )

The squares are:

The difference of squares is factorised as:

This is the difference of two squares and can be factorised