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3 years ago

Expand (p - q)(p+q).

Mathematics

2 answers:

dezoksy [38]3 years ago

7 0

Answer:

(p - q)(p+q). :p²-q²....

irina1246 [14]3 years ago

4 0

Answer:

p^2 - q^2

Step-by-step explanation:

This is an example of "the product and difference of two squares."

The relevant formula is (a - b)(a + b) = a^2 - b^2 (no middle term).

Here,the desired product is (p - q)(p + q) = p^2 - q^2.

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3 years ago

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Question 1: The diagonal of a rectangle, with base x, remains at a fixed

kramer

We have that The height changing rate when the length of the base is 2 cm

$dh/dt=-7.2cm/s$

From the question we are told

The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?

Generally the Pythagoras equation for the triangle is mathematically given

$r^2=h^2+x^2$

With r=3

Therefore

dx/dt=8cm/s

Hence

$2rdr/dt=2hdh/dt+2xdx/dt\\\\\dh/dt=\frac{-x}{r^2-x^2}dx/dt$

We have

$dh/dt=-2/\sqrt{5}(8)\\\\dh/dt=-7.2cm/s$

Therefore

The height changing rate when the length of the base is 2 cm

$dh/dt=-7.2cm/s$

For more information on this visit

brainly.com/question/23366835

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3 years ago

Expand (p - q)(p+q).​

Expand (p - q)(p+q).