Factorizar 25x²-36y²
Answers
Answered by
24
Answer:
= 25 x ^2 - 36 y ^2
= (5x) ^2 - (6y)^2 • using a^2 - b^2
= (5x + 6y) (5x - 6y)
Answered by
1
Given:
An algebraic expression 25x²-36y².
To Find:
The factorization of the given expression.
Solution:
The given problem can be solved using algebraic identities.
1. The formula used to solve the given problem are:
- x²- y² = (x+y)(x-y)
2. The given expression is25x²-36y²,
=> 25x²-36y²,
=> (5)²(x)²- (6)²(y)²,
3. From the above-mentioned formula we can factorize the given expression.
=> (5)²(x)²- (6)²(y)² = (5x+6y)(5x-6y).
Therefore, the factorized form of 25x²-36y² is (5x+6y)(5x-6y).
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