The factored form of the expression (49y² - 64) is ( 7y + 8 )( 7y - 8 )
<h3>What is the factored form of the given expression?</h3>
Given the expression in the question;
49y² - 64
To determine the form, let's break down 49y².
49 can be written as 7 × 7, y² can be written as y × y and 64 can be written as 8 × 8
Hence
49y² = 7y × 7y = (7y)²
64 = 8 × 8 = 8²
So we have,
(7y)² - 8²
Since both terms are perfect square, we can factor using the difference of square.
a² - b² = ( a + b )( a - b )
a is 7y and b is 8
(7y)² - 8² = ( 7y + 8 )( 7y - 8 )
Therefore, the factored form of the expression (49y² - 64) is ( 7y + 8 )( 7y - 8 )
Learn more about difference of square here: brainly.com/question/11801811
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