Y^3-27=9y^2-27y how to factor
1 answer:
Hello! And thank you for your question!
First we are going to redo the equation:
<span><span><span>y<span><span>^3</span><span></span></span></span>−3<span>y^<span><span>2</span><span></span></span></span>(3)+3(y)×<span>3<span><span>^2</span><span></span></span></span>−<span>3<span><span>^3</span><span></span></span></span>=0
Then we are going to use Cube of Difference:
0 = (y - 3)^3
That take cube root of both sides:
0 = y - 3
Finally add 3 to both sides:
3 = y
Final Answer:
y = 3</span></span>
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