Based on the order of operations, which shows the first step in simplifying this expression? 16/2+6(7+4x5)

Mathematics

1 answer:

Montano1993 [528]2 years ago

6 0

Answer:

$\frac{16}{2} + 6(7 + 20)$

Step-by-step explanation:

The given expresion is:

$\frac{16}{2} + 6(7 + 4 \times 5)$

We want to find the first step in simplifying the above expression based on order of operations.

We use PEDMAS, so we deal with parenthesis first.

Within the parenthesis, we still need to multiply first to get:

$\frac{16}{2} + 6(7 + 20)$

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How to integrate with steps:<br><br> (4x2-6)/(x+5)(x-2)(3x-1)

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$\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx$

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

$\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}$

$\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)$

You can use the "cover-up" method here to easily solve for $a,b,c$ . It involves fixing a value of $x$ to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.