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Sergio039 [100]
3 years ago
14

Show work by factoring completely30x^3 + 22x^2 + 4x​

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Given:

The expression is

30x^3+22x^2+4

To find:

Factorized form of given expression.

Solution:

We have,

30x^3+22x^2+4

=2x(15x^2+11x+2)

Splitting the middle term, we get

=2x(15x^2+6x+5x+2)

=2x(3x(5x+2)+1(5x+2))

=2x(3x+1)(5x+2)

Therefore, the complete factorized form of given expression is 2x(3x+1)(5x+2).

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In the following activity, match each pair of equivalent expressions.
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Answer:

See attached table image

Step-by-step explanation:

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
ArbitrLikvidat [17]

Answer:

\frac{1}{a^{6} b^{4} }\\\frac{a^{6} }{b^{6} }\\ \frac{a^{6} }{b^{5} } \\\frac{b^{6} }{a^{6} }\\ a^{6} b^{3}

Step-by-step explanation:

Basically when a variable with a negative exponent, such as a^{-2}, you just take the reciprocal of it and then change the exponent sign, or in simple terms flip it. The reciprocal of a^{-2} and changing the exponent sign is is \frac{1}{a^{2} }.

To demonstrate let’s solve the first problem:

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Therefore the equation is now:

\frac{1}{a^{2}a^{4}b^{2}b^{2}    }

To simplify we add the exponents (only if they have the same base, or the same variable, in this case)

Therefore our answer is:

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Answer:

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Step-by-step explanation:

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