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Gnesinka [82]
2 years ago
15

Factor completely 81x2 − 100. (1 point) (10x − 9)(10x − 9) (10x − 9)(10x + 9) (9x − 10)(9x + 10) (9x − 10)(9x − 10)

Mathematics
1 answer:
MArishka [77]2 years ago
5 0

The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)

<h3>How to factorize quadratic equations?</h3>

We are given the quadratic equation;

81x² - 100

Now, according to quadratic identities, we know that;

(a + b) * (a - b) = a² - b²

Now, our equation can also be expressed as;

81x² - 100 = 9²x² - 10²

Thus, applying the quadratic identity gives us;

(9x + 10)(9x - 10)

Read more about factorization of quadratic equations at; brainly.com/question/1214333

#SPJ1

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\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hfill \stackrel{\textit{15\% of 38.70}}{\left( \cfrac{15}{100} \right)38.70}\implies \underline{5.805}~\hfill \stackrel{\textit{20\% of 33.45}}{\left( \cfrac{20}{100} \right)33.45}\implies \stackrel{\textit{larger}}{\underline{6.69}} \\\\\\ \stackrel{\textit{by how much?}}{6.69-5.805\implies 0.885}

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