Question

1. Обчисли значення виразу. пожалуйста ​

Answer 1

а)

$(1 \frac{1}{2} + 2 \frac{2}{3} ) {}^{2} = (1 \frac{3}{6} + 2 \frac{4}{6} ) {}^{2} = (3 \frac{7}{6} ) {}^{2} = (4 \frac{1}{6} ) {}^{2} = (\frac{25}{6} ) {}^{2} = \\= \frac{625}{36} = 17 \frac{13}{36}$

б)

$(1 \frac{1}{2} ) {}^{2} + (2 \frac{2}{3} ) {}^{2} = ( \frac{3}{2} ) {}^{2} + ( \frac{8}{3} ) {}^{2} = \frac{9}{4} + \frac{64}{9} = \frac{81}{36} + \frac{256}{36} = \\= \frac{337}{36} = 9 \frac{13}{36}$

в)

$(3 \frac{4}{7} - 1 \frac{23}{28} ) \times ( \frac{2}{7} ) {}^{2} = (3 \frac{16}{28} - 1 \frac{23}{28} ) \times \frac{4}{49} =\\= (2 \frac{44}{28} - 1 \frac{23}{28} ) \times \frac{4}{49} = 1 \frac{21}{28} \times \frac{4}{49} = 1 \frac{3}{4} \times \frac{4}{49} = \frac{7 \times 4}{ 4\times 49} = \frac{1}{2}$