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unknown6669
24.04.2020 •
Mathematics
Which shows the expression factored correctly? 16x^2-25
(8x - 5)(8x + 5)
(8x - 5)(2x - 5)
(4x - 5)(4x + 5)
(8x - 12.5)(8x + 12.5)
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Ответ:
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.
we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25
however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)
if you don’t want to find the answer using expanding, there is also another method of expanding.
(a+b)^2 = a^2 - b^2
in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
Ответ:
6(x-3)