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

Betsy Rhone 2021-12-15 Answered
Use the difference-of-squares pattern to factor each of the following. 16x225
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Expert Answer

levurdondishav4
Answered 2021-12-16 Author has 38 answers
Step 1
Given algebraic expression is:
16x225
Both the terms in the above expression are in form of perfect squares.
Therefore the given algebraic expression follows difference-of-squares pattern.
Step 2
We use the identity:
a2b2=(a+b)(ab)...(1)
Then we get,
16x225
=(4x)2(5)2
=(4x+5)(4x-5); [using the identity (1)]
Hence is the required factorization.

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kaluitagf
Answered 2021-12-17 Author has 38 answers
16x225=(4x)2(5)2
ft{a2b2=(a+b)(ab)right}
=(4x+5)(4x-5)
=(4x+5)*(4x-5)

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