64-100×2
Factor 4 out of 64.
4(16)-100×2
Factor 4 out of -100×2.
4(16)+4(-25×2)
Factor 4 out of 4(16)+4(-25×2).
4(16-25×2)
4(16-25×2)
Rewrite 16 as 42.
4(42-25×2)
Rewrite 25×2 as (5x)2.
4(42-(5x)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=4 and b=5x.
4((4+5x)(4-(5x)))
Multiply 5 by -1.
4((4+5x)(4-5x))
Remove unnecessary parentheses.
4(4+5x)(4-5x)
4(4+5x)(4-5x)
Factor 64-100x^2
