Question

4c⁴+12c²b³+9b⁶
по алгебре ​

Answer 1

Ответ:

$4c^{4} + 12c ^{2} b ^{3} + 9b^{6} = \\ = 2 ^{2} c ^{2 \times 2} + 2 \times 2c^{2} \times 3b^{3} + 3^{2} b ^{2 \times 3} = \\ = 2 ^{2} \times (c ^{2} )^{2} + 2 \times 2c ^{2} \times 3b^{3} + 3^{2} \times (b^{3})^{2} = \\ = (2c ^{2} )^{2} + 2 \times 2c^{2} \times 3b ^{3} + (3b^{3} ) ^{2} = \\ = (2c ^{2} + 3b ^{3} )^{2}$