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ANTONII [103]
2 years ago
13

Find the sum. Express your answer in simplest form.

Mathematics
2 answers:
Marina86 [1]2 years ago
7 0

Answer:

\frac{10x^2+3}{y^2+4}

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have \frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}

==> remove parenthesis and apply signs

\frac{x^2+5+4x^2-2}{y^2+4}

==> simplify numerator by combining like terms

\frac{10x^2+3}{y^2+4}

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

sergey [27]2 years ago
4 0

Answer:

\frac{10x^{2} +3}{y^{2}+4 }

Step-by-step explanation:

\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }

make the common denominator

\frac{6x^{2} +5+4x-2}{y^{2}+4 }

combone the like terms

\frac{10x^{2} +5-2}{y^{2}+4 }

subtract numbers

\frac{10x^{2} +3}{y^{2}+4 }

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