
How do you factor ?
Answer
472.5k+ views
Hint: Factorization of any polynomials can be written as the product of its factors having the degree less than or equal to the original polynomial. Here we will use the identity for the difference of two squares twice and will simplify for the resultant required solution.
Complete step-by-step solution:
Square is the number multiplied itself and cube it the number multiplied thrice. Square is the product of same number twice such as for Example square of is simplified form of squared number is .
Take the given expression and write the expression in terms of the difference of two squares.
Now using the difference of squares identity:
Again, using the identity for the difference of two squares in one part of the right hand side of the equation.
Simplifying the values in the above equation.
This is the required solution.
Additional Information: Know the difference between the squares and square root and apply the concepts accordingly. Square is the number multiplied twice and square-root is denoted by For Example:
Note: Always remember the different identities to factorize the polynomials. Always try to convert the polynomials in the form of squares and cubes and then apply its formulas. Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which are denoted by small alphabets such as x, y, z, a, b, etc. Be careful while moving any term from one side to another.
Complete step-by-step solution:
Square is the number multiplied itself and cube it the number multiplied thrice. Square is the product of same number twice such as
Take the given expression and write the expression in terms of the difference of two squares.
Now using the difference of squares identity:
Again, using the identity for the difference of two squares in one part of the right hand side of the equation.
Simplifying the values in the above equation.
This is the required solution.
Additional Information: Know the difference between the squares and square root and apply the concepts accordingly. Square is the number multiplied twice and square-root is denoted by
Note: Always remember the different identities to factorize the polynomials. Always try to convert the polynomials in the form of squares and cubes and then apply its formulas. Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which are denoted by small alphabets such as x, y, z, a, b, etc. Be careful while moving any term from one side to another.
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

Difference between mass and weight class 10 physics CBSE

What is the past participle of wear Is it worn or class 10 english CBSE

Write examples of herbivores carnivores and omnivo class 10 biology CBSE

A farmer moves along the boundary of a square fiel-class-10-maths-CBSE

What is the full form of POSCO class 10 social science CBSE
