Answer:
(10x + 8y)(10x - 8y)
Step-by-step explanation:
The given expression is 100x^2 -64y^2
100 can be written as 10^2
64 can be written as 8^2
100x^2 - 64y^2 = (10x)^2 - (8y)^2
We know that a^2 - b^2 = (a +b )(a - b)
Applying the formula, we get
(10x)^2 - (8y)^2 = (10x + 8y)(10x - 8y)
Answer: (10x + 8y)(10x - 8y)
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