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Amiraneli [1.4K]

3 years ago

10

Which of the following are properties of a perfect square trinomial?

2 answers:

guapka [62]3 years ago

8 0

Answer:

B and C are correct

Step-by-step explanation:

i just took the apex quiz

givi [52]3 years ago

4 0

Answer:

The property that defines a perfect square trinomial is that the second term is 2 times the product between the squares of each square term.

Step-by-step explanation:

Option A is true, <u>but is not a property,</u> is a condition of the definition of a perfect square trinomial
Option B is true, <u>but is neither a property</u>, is also a condition of the definition of a perfect square trinomial.
Option C is true, and is a property of the trinomial, because this property, is the one which allows to apply the defined simplification for a perfect square trinomial: [tex]a^2±2ab+b^2=(a±b)^2[tex/]

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s2008m [1.1K]

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

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2 years ago

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at <u>3 formulas</u>:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

<u>Applying formula (1):</u>

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

<u>Applying formula (2):</u>

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

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Agata [3.3K]

Answer:

Step-by-step explanation:

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MakcuM [25]

Answer:

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Step-by-step explanation:

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