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SAT Math: Using Common Denominators to Find an Equivalent Expression 1 Views
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Description:
Which of the following expressions is equivalent to ?
Transcript
- 00:00
Yeah Whoa Okay I say T mass shmoop er's Here
- 00:05
Go thrown another rooks Bonin at you Which of the
- 00:07
following expressions is equivalent Teo Quantity one over X plus
- 00:10
five plus one over X plus seven to the negative
- 00:14
First power is ugly All right so let's think about
Full Transcript
- 00:19
it The expression could just flip flop our minds completely
- 00:22
out of our skulls were not careful here So slow
- 00:24
down few breasts and find our way through it So
- 00:27
based on the answer choices it looks like this problem
- 00:29
wants us to turn this mess into one nice fractional
- 00:32
term Common denominators sound like a good starting point And
- 00:35
if you look at the answer choices here their way
- 00:37
simpler So let's think about this All right So we're
- 00:40
starting with this mess right here and well then we're
- 00:43
going to smoosh the whole thing together simplify the numerator
- 00:46
and expand the denominator So that gets us quantity X
- 00:49
plus seven plus quantity x plus five over quantity Exposed
- 00:52
five times Explosive in all to the negative one And
- 00:56
well funny thing we have What now Looks like two
- 00:59
x plus twelve over X squared Plus twelve ax plus
- 01:03
thirty five Power Interesting What do you think You get
- 01:07
the negative one there That does not match It's wrong
- 01:10
It's not a so what the power of negative one
- 01:13
wants us to do remember is invert everything We invert
- 01:17
the fraction so it's actually going to look like this
- 01:19
X squared plus twelve expose thirty five over two X
- 01:22
plus twelve which is B which is the right answer
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