How do you factor the polynomials $45 p q - 27 q - 50 p + 30$ $45pq-27q-50p+30$ ?

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How do you factor the polynomials $45 p q - 27 q - 50 p + 30$ $45pq-27q-50p+30$ ?

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Answer 1 · 2016-11-20T19:16:39

$45 p q - 27 q - 50 p + 30 = (9 q - 10) (5 p - 3)$ $45pq-27q-50p+30 = (9q-10)(5p-3)$

Explanation:

This polynomial factors by grouping:

$45 p q - 27 q - 50 p + 30 = (45 p q - 27 q) - (50 p - 30)$ $45pq-27q-50p+30 = (45pq-27q)-(50p-30)$

$45 p q - 27 q - 50 p + 30 = 9 q (5 p - 3) - 10 (5 p - 3)$ $color(white)(45pq-27q-50p+30) = 9q(5p-3)-10(5p-3)$

$45 p q - 27 q - 50 p + 30 = (9 q - 10) (5 p - 3)$ $color(white)(45pq-27q-50p+30) = (9q-10)(5p-3)$

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How do you factor the polynomials $45 p q - 27 q - 50 p + 30$ $45pq-27q-50p+30$ ?

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How do you factor the polynomials 45pq−27q−50p+3045pq-27q-50p+30?

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How do you factor the polynomials $45 p q - 27 q - 50 p + 30$ $45pq-27q-50p+30$ ?