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3 years ago

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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Step-by-step explanation:

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Step-by-step explanation

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Step-by-step explanation:

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3 years ago

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3 years ago

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

3 years ago