Find the product of (x + 5)(x − 5) and show work

Mathematics

2 answers:

AleksandrR [38]3 years ago

8 0

(x + 5) * (x − 5) =

x² - 25

----------------

x * x = x² and 5 * (-5) = -25

Drupady [299]3 years ago

4 0

This is a special pattern of multiplication, because it is the sum of two terms multiplied by their difference.

In this case, the result is the difference of the squares of the two numbers:

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

So, in this case, the result is the square of x minus the square of 5:

$(x+5)(x-5) = x^2-5^2 = x^2-25$

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Could someone check my answer please

Butoxors [25]

Hello there! The axis of symmetry is the vertical line where the parabola can be divided and there are two equal halves. The vertex is on that line. The point where this occurs is all in the positive range, so that eliminates B, C, and D. (0.5, 4.25) is the vertex and 0.5 is the axis of symmetry. The answer is A. Your answer is correct.

3 0

3 years ago

Read 2 more answers

Express 0.6 as a fraction.

ollegr [7]

Answer: 3/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.6 is 6 tenths. So we can write 0.6 as the fraction 6/10.

Notice however that 6/10 is not in lowest terms.

So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

So if we divide the numerator and denominator by 2, we get 3/5.

So 0.6 can be written as the fraction 3/5 which is in lowest terms.

Image provided showing the place value chart.