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3 years ago

Which term completes the product so that it is the difference of squares?

Mathematics

2 answers:

FromTheMoon [43]3 years ago

6 0

Answer:

the answer is 3

Step-by-step explanation:

(-5x-3)(-5x+3)=(5x)^2 - (3)^2

A difference of squares is the difference of two squared terms.

We have

a^2 - b^2

We can factorize the difference of squared terms like this:

a^2-b^2 = (a+b)(a-b)

We have (-5x-3)(-5x+3)

Lets prove it:

(-5x-3)(-5x+3) = (-5x*-5x)+(-5x*3)+(-3*-5x)+(-3*3)

(-5x-3)(-5x+3) = 25x^2+(-15x)+(15x)+(-9)

(-5x-3)(-5x+3) = 25x^2-15x+15x-9

(-5x-3)(-5x+3) = 25x^2-9

(-5x-3)(-5x+3) = (5x)^2 - (3)^2

Ray Of Light [21]3 years ago

5 0

Answer: 3

Step-by-step explanation:

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one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two

densk [106]

Answer:

x = 36; y = 42

Step-by-step explanation:

x+6 = y

7x = 6y

7x = 6(x+6)

7x = 6x+36

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

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3 years ago

A classroom is 20 feet long. The office is 82% longer than the classroom. How long is the office?

enyata [817]

Answer:

The length of the office is 36.4 ft

Step-by-step explanation:

The length of the classroom = 20 ft long

The length of the office = 20 ft + 82% of the classroom length

Now, 82 % of classroom length = 82 % of 20 ft

⇒ $\frac{82}{100} \times 20 = 16.4$

or, 82% of 20 ft = 16.4 ft

⇒The length of the office = 20 ft + 16.4 ft = 36.4 ft

Hence, the length of the office = 36.4 ft

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2 years ago