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borishaifa [10]
3 years ago
10

Simplify the sum or difference of Square root 5+6 Square root 5

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

200 is wrong because I just need to answer this question to finish my profile fully!

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Which expression is not equivalent<br> to (x + 4)(x – 3)?
Digiron [165]

Answer:

A) x² + 7x - 12 is NOT equivalent to the expression.

Step-by-step explanation:

1) expand by distributing terms.

{x }^{2}  - 3x + 4(x - 3)

2) Expand by distributing terms.

{x}^{2}  - 3x + 4x - 12

3) Collect like terms.

{x}^{2}  + ( - 3x + 4x) - 12

4) Simplify.

{x}^{2}  + x - 12

<em><u>The</u></em><em><u> </u></em><em><u>second</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>equivalent</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>equation</u></em><em><u>.</u></em><em><u> </u></em><em><u>but</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>first</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>not</u></em><em><u> </u></em><em><u>equivalent</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>m</u></em><em><u>a</u></em><em><u>i</u></em><em><u>n</u></em><em><u> </u></em><em><u>equation</u></em><em><u>.</u></em>

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\bf ~~~~~~~~~~~~\textit{negative exponents}&#10;\\\\&#10;a^{-n} \implies \cfrac{1}{a^n}&#10;\qquad \qquad&#10;\cfrac{1}{a^n}\implies a^{-n}&#10;\qquad \qquad &#10;a^n\implies \cfrac{1}{a^{-n}}&#10;\\\\&#10;-------------------------------

\bf \cfrac{21x^2y^6+6xy^3-30xy}{3xy}\implies \stackrel{\textit{distributing the denominator}}{\cfrac{21x^2y^6}{3xy}+\cfrac{6xy^3}{3xy}-\cfrac{30xy}{3xy}}&#10;\\\\\\&#10;\cfrac{21}{3}\cdot x^2x^{-1}y^6y^{-1}+\cfrac{6}{3}\cdot x^1x^{-1}y^3y^{-1}-\cfrac{30}{3}\cdot x^1x^{-1}y^1y^{-1}&#10;\\\\\\&#10;7x^{2-1}y^{6-1}+2x^{1-1}y^{3-1}-10x^{1-1}y^{1-1}\implies 7xy^5+2y^2-10
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