Use the difference-of-squares pattern to factor each of the following.

Helen Lewis

Helen Lewis

Answered question

2022-01-15

Use the difference-of-squares pattern to factor each of the following. x264y2

Answer & Explanation

mauricio0815sh

mauricio0815sh

Beginner2022-01-16Added 34 answers

Step 1
Given algebraic expression is:
x264y2
Both the terms of the above expression are in the form of perfect squares.
Therefore the given algebraic expression follows the difference-of-squares pattern.
Step 2
We use the identity:
a2b2=(a+b)(ab)...(1)
Then we get,
x264y2
=(x)2(8y)2
=(x+8y)(x-8y); [using the identity (1)]
Hence is the required factorization.
enlacamig

enlacamig

Beginner2022-01-17Added 30 answers

You have to factor the given binomial.
The given binomial is 64y2x2.
The binomial of squares is a binomial of the form a2b2, then its factors will be a+b and a-b.
64y2x2=(8y)2(x)2
=(8y+x)(8y-x)
Thus, the factor of the given binomial is 64y2x2=(8y+x)(8yx).
alenahelenash

alenahelenash

Expert2022-01-24Added 556 answers

The given binomial is 64y2x2. The binomial of squares is a binomial of the form a2b2, then its factors will be a+b and a-b. 64y2x2=(8y)2(x)2 =(8y+x)(8y-x) Thus, the factor of the given binomial is 64y2x2=(8y+x)(8yx).

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