What is the formula of difference of the squares of the terms?
( 1 ) a 2 − b 2 = ( a + b ) ( a − b ) ( 2 ) x 2 − y 2 = ( x + y ) ( x − y ) The formula for the difference of squares is usually represented by a 2 − b 2 or x 2 − y 2 algebraically in mathematics. It can be factored as the product of two binomials whose terms are connected by opposite signs.
What are the steps to solve the difference of squares?
To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)
What is difference of two squares in maths?
The difference of two squares means one squared term subtract another squared term. For example, x 2 − 9 would be the difference of two squares as is a squared term ( has been multiplied by itself) and 9 is a square number ( 3 × 3 ).
How do you do the difference of squares step by step?
What is the result of difference of two squares?
The Difference of Two Squares theorem tells us that if our quadratic equation may be written as a difference between two squares, then it may be factored into two binomials, one a sum of the square roots and the other a difference of the square roots. This is sometimes shown by the expression A² – B² = (A + B) (A – B).
How do you find the sum of squares in algebra?
To calculate the sum of two or more squares in an expression, the sum of squares formula is used. Thus, a few sums of squares formulas are, In statistics : Sum of squares of n data points = ∑ni=0 (xi – x̄) In algebra : Sum of squares = a2 + b2 = (a + b)2 – 2ab.
What is the formula for the difference of two cubes?
The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. That is, x3+y3=(x+y)(x2−xy+y2) and x3−y3=(x−y)(x2+xy+y2) .