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2 years ago

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

2 answers:

8 0

hello :
<span>–3(x + 3)² – 3 + 3x = -3( x² +6x+9) -3 +3x
=-3x² -18x -27 -3 +3x
= -3x² - 15x -30.. ( </span><span>standard form)</span>

VARVARA [1.3K]2 years ago

6 0

Answer with explanation:

The given expression is

$-3(x + 3)^2 -3 + 3 x\\\\=-3*(x^2+2*3*x+3^2)-3 +3 x\\\\=-3 x^2-3*6 x-3*9-3+3 x\\\\=-3 x^2-18 x-27-3+3 x\\\\=-3 x^2-15 x-30\\\\ =-3(x^2+5 x+10)$

This is standard form of the expression given.

→→Used the following properties and Identity to solve the expression :

1. (a+b)²=a²+2 a b +b²

2. Distributive property of multiplication with respect to addition and subtraction,which is

1. a × (b+c)=a × b + a × c

2. a × (b - c)=a × b - a × c

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wariber [46]

ANSWER

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EXPLANATION

Coterminal angles are angles in standard position that have the same terminal side.

To find an angle in standard position that is coterminal with

$- \frac{6 \pi}{5}$

We add or subtract multiples of
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The first addition gives,

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We add the second multiple to get,

$- \frac{6 \pi}{5} +2( 2 \pi )= \frac{14 \pi}{5}$

Since this is the maximum value among the options, we end the addition here.

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We end the subtraction here because this is the least value among the options.

Therefore the angles that are coterminal with
$- \frac{6 \pi}{5}$
are

$- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}$

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2 years ago

Read 2 more answers

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Answer: Third option.

Step-by-step explanation:

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