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jonny [76]
3 years ago
10

Simplify: (ab + bc) (ab - bc)​

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

\:  \:  \:  \:

=  {a}^{2}  \:  {b}^{2}  -  {b}^{2}   \: {c}^{2}

Step-by-step explanation:

(ab + bc)(ab - bc)

  • use <u>(</u><u> </u><u>a </u><u>+</u><u> </u><u>b </u><u>)</u><u> </u><u>(</u><u> </u><u>a </u><u>+</u><u> </u><u>b</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>a²</u><u> </u><u>-</u><u> </u><u>b²</u><u> </u>to simply the product

(ab {)}^{2}  - (bc {)}^{2}

  • to raise a <u>product</u><u> </u><u>to </u><u>a</u><u> </u><u>power </u>,raise each factor to that power

=  {a}^{2}  {b}^{2}  -  {b}^{2}  {c}^{2}

<h2><u>hope</u><u> it</u><u> helps</u></h2>
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the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equat
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Answer:

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Step-by-step explanation:

Let x = first (smaller) number

Let y = second (larger) number

Sum of two numbers is 45:

⇒ x + y = 45

The greater number is 9 more than the other number:

⇒ y = x + 9

Substitute  y = x + 9  into  x + y = 45  and solve for x:

⇒ x + (x + 9) = 45

⇒ 2x + 9 = 45

⇒ 2x = 36

⇒ x = 18

Substitute found value for x into  y = x + 9  and solve for y:

⇒ y = 18 + 9

⇒ y = 27

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