Question

(a+b)⁴-(a-b)⁴
Представьте в виде произведения

Answer 1

${(a + b})^{4} - {(a - b})^{4} = \\ = ({(a + b})^{2} - {(a - b})^{2})({(a + b})^{2} + {(a - b})^{2}) = \\ = ({a}^{2} + 2ab + {b}^{2} - {a}^{2} + 2ab - {b}^{2} ) \times \\ \times ({a}^{2} + 2ab + {b}^{2} + {a}^{2} - 2ab + {b}^{2}) = \\ = 4ab(2 {a}^{2} + 2 {b}^{2} ) = \\ = 8ab({a}^{2} + {b}^{2})$

Answer 2

(а + b)^4 – (a – b)^4
((a + b)^2 – (a – b)^2)((a + d)^2 + (a – b)^2
2b • 2a(a^2 + 2ab + b^2 + a^2 – 2ab + b^2)
4ab(2a^2 + 2b^2)