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jonny [76]
2 years ago
10

Simplify: (ab + bc) (ab - bc)​

Mathematics
1 answer:
yanalaym [24]2 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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5. m∠C = 95°

6. m∠C = 70°

7. The other acute angle in the right triangle = 70°

8. m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 110°

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<h3>What are Triangles?</h3>

A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:

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  • Equilateral triangle: has three equal angles, each measuring 60 degrees.
  • Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.

5. m∠C = 180 - 50 - 35 [triangle sum theorem]

m∠C = 95°

6. m∠C = 180 - 25 - 85 [triangle sum theorem]

m∠C = 70°

7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]

The other acute angle = 70°

8.  m∠C = 180 - 55 - 55 [isosceles triangle]

m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 50 + 60

Measure of the exterior angle at ∠C = 110°

11. m∠B = 115 - 45

m∠B = 70°

12. m∠Z = 180 - 35 - 75

m∠Z = 70°

Learn more about triangles on:

brainly.com/question/25215131

#SPJ1

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