Answer:
The expression is equivalent , but is not completely factored
Step-by-step explanation:
A student factors 3x² – 12 to the following. 3(x² – 4)
3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;
If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.
However; <em>3(x² – 4), could be factored further;</em>
<em>To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;</em>
<em>Therefore;</em>
<em>3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)</em>
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Answer:
Step-by-step explanation:
percent increase = (new number - original number) / (original number) * 100
= (1200 - 840) / (840) * 100
= (360) / 840 * 100
= 0.4285 * 100
= 42.85% rounded to nearest percent = 43% <==
