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Flauer [41]
4 years ago
8

A student is asked to factor, if possible, the given expression. The student's response demonstrates which common misconception?

Simplify: a2 + b2 Student's response: (a + b)(a − b)
Mathematics
1 answer:
dlinn [17]4 years ago
8 0

Answer:

The student assumed he was asked to factor

(a^2 - b^2)

Which is equal to

= (a+b)*(a-b)    (His response)

But, he was asked to simplify

(a^2 + b^2)

Which has imaginary roots, and can be factored as:

(b +ai)(b-ai)

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3 years ago
Gain finds a skirt that she likes at the store for $45.99. If the tax rate is 5.8%, how much will the shirt cost in all
Aleks04 [339]

Answer:

$48.66

Step-by-step explanation:

The price of a good is the base cost plus tax. We are given the cost of the skirt, so all we need is the amount of tax. To find it, we multiple the cost of the  skirt by the tax rate:

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We now add the tax to the cost of the skirt:

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As you can see, we are adding the price of the skirt to 5.8% of the skirt's price, so we can also solve the problem by simply multiplying the cost by 1.058 as shown below:

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4 years ago
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3 0
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Dovator [93]
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