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3 years ago

How do you simplify this expression

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Convert 6\frac{3}{8}683 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}acb=cac+b:
∣86×8+3−2∣+∣−885−1∣

Simplify 6\times 86×8 to 48: 
848+3−2∣+∣−885−1∣

Simplify 48+348+3 to 51:
851−2∣+∣−885−1∣

 Make the denominators the same:
51/8−2×88

Simplify. Denominators are now the same:

51/8−816

Join the denominators: \frac{51-16}{8}851−16

etc.. and your answer will be 14

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Factor the trinomial. Factor out the GCF first. 5x^2y - 30xy^2 - 35y^3

anzhelika [568]

Answer: $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: $5x^2y - 30xy^2 - 35y^3$

It can be written as

$5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)$

Taking out common factor $5y$ , we get

$5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)$

Hence, $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

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3 years ago

Please Help!

Bingel [31]

The tank is NOT filled with 8314.5 L of a liquid. I guess you meant The tank is completely filled with 8314.5 grams of liquid." 
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