Question

ЗА ПРАВИЛЬНОЕ РЕШЕНИЕ

упростите выражения 3 задания
Г) Д) Е)

Answer 1

Объяснение:

$1)( \frac{b}{2b - 3} - \frac{b}{3 + 2b} ) \div \frac{b}{9 + 12b + 4 {b}^{2} } + \frac{45 - 6b}{3 - 2b} = \frac{b(2b + 3) - b(2b - 3)}{(2b - 3)(2b + 3)} \div \frac{b}{ {(2b + 3)}^{2} } + \frac{45 - 6b}{ - (2b - 3)} = \frac{2 {b}^{2} + 3b - 2 {b}^{2} + 3b }{(2b - 3)(2b + 3)} \div \frac{b}{ {(2b + 3)}^{2} } + \frac{45 - 6b}{ - (2b - 3)} = \frac{6b \times {(2b + 3)}^{2} }{(2b - 3)(2b + 3) \div b} + \frac{45 - 6b}{ - (2b - 3)} = \frac{6(2b + 3)}{2b - 3} + \frac{45 - 6b}{ - (2b - 3)} = \frac{ 12b + 18 - 45 + 6b}{2b - 3} = \frac{18b - 27}{2b - 3} = \frac{9(2b - 3)}{2b - 3 } = 9$

$2)25 \sqrt{b} - 0.5 \sqrt{4b} + 100 \sqrt{0.16b} = 25 \sqrt{b} - \sqrt{b} + 40 \sqrt{b} = \sqrt{b} (25 - 1 + 40) = 64 \sqrt{b}$

$3) \sqrt{98a} + 3 \sqrt{242a} - 17 \sqrt{512a} = \sqrt{2a} (7 + 33 - 272) = 232 \sqrt{2a}$