Question

calcula los siguientes productos notables​

Answer 1

Explicación paso a paso:

• a) (2x + 3y)²
• = (2x)² + 2(2x)(3y) + (3y)²
• = 4x² + 12xy + 9y²

• b) (3r²t - 2)²
• = (3r²t)² - 2(3r²t)(2) + (2)²
• = 9r⁴t² - 12r²t + 4

• c) (2ab + 5c³)²
• = (2ab)² + 2(2ab)(5c³) + (5c³)²
• = 4a²b² + 20abc³ + 25c⁶

• d)
• $\\ ( \frac{1}{8} a + \frac{3}{4} b) {}^{2} \\ \\ = ( \frac{1}{8} a) {}^{2} + 2( \frac{1}{8} a)( \frac{3}{4} b) + ( \frac{3}{4} b) {}^{2} \\ \\ = \frac{1}{64} a {}^{2} + \frac{6}{32} ab + \frac{9}{16} b {}^{2} \\ \\ \frac{1}{64} a {}^{2} + \frac{3}{16} ab + \frac{9}{16} b {}^{2}$

• e)
• $( \frac{4}{5} j - \frac{7}{8} a) {}^{2} \\ \\ = ( \frac{4}{5} j) {}^{2} - 2( \frac{4}{5} j)( \frac{7}{8} a) + ( \frac{7}{8} a) {}^{2} \\ \\ = \frac{16}{25} j {}^{2} - \frac{56}{40} aj + \frac{49}{64} a {}^{2} \\ \\ \frac{16}{25} j {}^{2} - \frac{14}{10} aj + \frac{49}{64} a {}^{2}$
• $= \frac{16}{25} j {}^{2} - \frac{7}{5} aj + \frac{49}{64} a {}^{2}$