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Gnoma [55]
3 years ago
5

What is the expression (a^2+b^2)^2 is equivalent to

Mathematics
2 answers:
netineya [11]3 years ago
7 0
<span>(a^2+b^2)^2
since (a+b)^2=a^2+2ab+b^2, substitute a with a^2 and b with b^2, which yields:
a^4+2(a^2*b^2)+b^4</span>
Pavlova-9 [17]3 years ago
5 0
( a^{2} + b^{2} )^{2}
 ( a^{2} + b^{2} )( a^{2} + b^{2} )
(a^{4}+a^{2}b^{2}+a^{2}b^{2}+b^{4})
(a^{4}+2a^{2}b^{2}+b^{4})
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aivan3 [116]

Answer:

c=\dfrac{27}{40}\\

Step-by-step explanation:

We are required to solve for c in the equation: \dfrac{1}{8}+c= \dfrac{4}{5}

Step 1: Collect like terms

\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

c=\dfrac{27}{40}\\

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Step-by-step explanation:

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