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tester [92]
3 years ago
13

If a = 2, what is the simplified form of the expression below? (x − a)(x^2 +ax + a^2)

Mathematics
2 answers:
dem82 [27]3 years ago
6 0

Answer:x^3+2x^2+4x-ax^2-2ax-4a

Step-by-step explanation:

Ksivusya [100]3 years ago
6 0

Answer:

x³+8

Step-by-step explanation:

(x − a)(x^2 +ax + a^2)

a=2

Substitute a for 2 in the algebraic expression

(x − 2)(x^2 +2x + 2^2)

(x − 2)(x^2 +2x + 4)

Multiply (x^2 +2x + 4) by (x-2)

x(x^2 +2x + 4)-2(x^2 +2x + 4)

x³+2x²+4x-2x²-4x-8

Collect like terms

x³+2x²-2x²+4x-4x+8

x³+8

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Answer:

  y = (x -1)² -16

Step-by-step explanation:

Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)

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3 0
2 years ago
Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the p
Alla [95]

Answer:

Part A : D.) 2w + 2(2w+ 1) = 29

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

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Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

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we have given the perimeter, so on substituting the value, we get;

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Hence The equation used to find the width is  29=2(2w+1)+2w.

Now we solve for 'w'.

Applying distributive property, we get;

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Subtracting both side by '2' we get

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Dividing both side by 6 we get;

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Width of the sandbox = 4.5 ft

Length of the sandbox = 2w+1=2\times4.5 +1 = 9+1=10\ ft

Hence Length of the sandbox is 10 feet.

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3 years ago
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tatyana61 [14]
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If a polynomial function f(x) has roots 3+
irinina [24]

Answer:

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