
How do you factor completely
Answer
482.7k+ views
Hint:
To find out factors of the above question, we will solve the cubes of the given terms with the help of identities and then put the given values into the identities. In the first method, we will use the identity in which cubes of two numbers are subtracted and in the second method, we use the identity in which cubes of two numbers are added.
Formula used:
Complete step by step solution:
We can factor by using formula .
Here we will consider
And as we know that
Put these values into the formula.
Simplify above equation
Hence, and are two factors of .
Note:
Second method to solve above question:
Formula used:
Complete step by step solution:
We can factor by using formula .
Here we will consider
And as we know that
Put these values into a formula.
Simplify above equation
Hence and are two factors of .
To find out factors of the above question, we will solve the cubes of the given terms with the help of identities and then put the given values into the identities. In the first method, we will use the identity in which cubes of two numbers are subtracted and in the second method, we use the identity in which cubes of two numbers are added.
Formula used:
Complete step by step solution:
We can factor
Here we will consider
And
Put these values into the formula.
Simplify above equation
Hence,
Note:
Second method to solve above question:
Formula used:
Complete step by step solution:
We can factor
Here we will consider
And
Put these values into a formula.
Simplify above equation
Hence
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