2 to the power30 +2 to the power 29 +2 to the power 28 ÷ 2 to the power 31+ 2 to the power 30 subtract 2 to the power 29 = 7 by 10 prove that
Answers
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Answer:
7/10
Step-by-step explanation:
LHS
=
2
31
+2
30
−2
29
2
30
+2
29
+2
28
=
2
29+2
+2
29+1
−2
29
2
28+2
+2
28+1
+2
28
Applying a
m+n
=a
m
×a
n
:
=
2
29
×2
2
+2
29
×2
1
−2
29
2
28
×2
2
+2
28
×2
1
+2
28
Factor out x
28
from numerator and x
29
from denominator:
=
2
29
(2
2
+2
1
−1)
2
28
(2
2
+2
1
+1)
Simplify further:
=
2(4+2−1)
4+2+1
=
2(5)
7
\begin{gathered}= \frac{7}{10}\\ \\ \text{=RHS (Proved)}\end{gathered}
=
10
7
=RHS (Proved)
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