Question

((а²b+b)²-b-2a²b²):a⁴=b

Answer 1

Ответ:

$({( {a}^{2}b + b) }^{2} - b - 2 {a}^{2} {b}^{2} ) \div {a}^{4} = b \\ ( {a}^{4} {b}^{2} + 2 {a}^{2} {b}^{2} + {b}^{2} - b - 2 {a}^{2} {b}^{2} ) \div {a}^{4} = b \\ {a}^{4} {b}^{2} + {b}^{2} - b = b \times {a}^{4} \\ b( {a}^{4} b + b - 1) = {a}^{4} b \\ {a}^{4}b + b - 1 = {a}^{4} \\ {a}^{4} (b - 1) + b - 1 = 0 \\ ( {a}^{4} + 1)(b - 1) = 0 \\ \\ {a}^{4} + 1 = 0 \\ b - 1 = 0 \\ \\ {a}^{4} = - 1 \\ b= 1 \\ \\ a \: є \: ∅ \\ b = 1$