Math  /  Algebra

Question7. UME 2000 Que 9
Simplify 3(2n+1)4(2n1)2n+12n\frac{3\left(2^{n+1}\right)-4\left(2^{n-1}\right)}{2^{n+1}-2^{n}} a. 2n+12^{n+1} b. 2n12^{n-1} c. 4

Studdy Solution
Simplify the entire fraction:
4×2n2n \frac{4 \times 2^n}{2^n}
Cancel the common factor 2n 2^n :
4 4
The simplified expression is:
4 \boxed{4}

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