The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)
<h3>Difference of two squares</h3>
According to the question:
- We are required to determine the equivalent expression.
When we try to factorise the given expression systematically; we have;
- 25x²+16−40x−64y² = (25x²+16−40x)−64y²
By the difference of two squares concept;
Therefore, an equivalent expression is; (5x-4)²−64y²
Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)
Hence, we have the suggested expressions as equivalent expressions.
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