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katen-ka-za [31]
3 years ago
12

Factor completely. . 8x^3-27. Show solution with explanation.

Mathematics
1 answer:
Kitty [74]3 years ago
7 0
Here we are given 
<span>8x^3-27
now making both as a cube root
</span><span>(2x)^3-(3)^3 
using formula cube root
</span><span> a^3-b^3=(a-b)(a^2+ab+b^2)
</span>where 
a=2x
b=3
now putting these values 
<span>2x^3-3^3=(2x-3)(2x^2+2x*3+3^2)
simplifying
</span>2x^3-3^3=<span>(2x-3)(4x^2+6x+9)
</span>hence the right answer is 
2x^3-3^3=<span>(2x-3)(4x^2+6x+9)</span>
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