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3 years ago

Multiply and simplify: (6x + 3y)(6x − 3y)

Mathematics

2 answers:

nasty-shy [4]3 years ago

5 0

Answer:

36x² - 9y²

Step-by-step explanation:

We see that the given expression (6x + 3y)(6x - 3y) looks just like the expression (a + b)(a - b). When multiplied out, this is a difference of squares identity that I highly recommend you memorise:

(a + b)(a - b) = a² - b²

Here, a = 6x and b = 3y, so plug these in:

(6x + 3y)(6x - 3y) = (6x)² - (3y)² = 36x² - 9y²

Masteriza [31]3 years ago

3 0

Answer:

36x² - 9y²

Step-by-step explanation:

(6x + 3y)(6x − 3y)

(6x)² - (3y)²

36x² - 9y²

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The functions r and s are defined as follows.

irina1246 [14]

Answer:

r(s(-2)) = -2

Step-by-step explanation:

We are given these following functions:

$r(x) = -2x + 2$

$s(x) = x^2 - 2$

Find the value of r(s (-2)).

First we find the composition of r and s functions. It is:

$r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6$

At x = -2

$r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2$

r(s(-2)) = -2

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Hi there!

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Therefore, f(-6) = 5.

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3 years ago

M + 20 = 11m - 6<br><br> can somebody show me how to solve this?

elena55 [62]

This ends up being:

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M= 2.6

Basically you’re doing basic algebra. You take the “11m” and subtract it to the positive (1) m. And you basically should see 1m-11m EQUALING -10m. Don’t let the negatives confuse you.

Then you take the 20 and subtract it to -6. It should look like: -6-20 = -26.

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Step-by-step explanation:

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