Question

Aiyuda doi coronita

Answer 1

Explicación paso a paso:

Aplicando producto de polinomios tenemos que:

$\\ (x + 4)(x - 7) = {x}^{2} - 7x + 4x - 28 \\ = {x}^{2} - 3x - 28 \\ \\ (2y - 5)(y + 3) \\ = 2 {y}^{2} + 6y - 5y - 15 \\ = 2 {y}^{2} + y - 15$

$(2x - y)(x - 5y) \\ = 2 {x}^{2} - 10xy - xy + 5 {y}^{2} \\ = 2 {x}^{2} + 5 {y}^{2} - 11xy$

$({x}^{2} + xy +{y}^{2})(x - y+1) \\ = {x}^{3} - {x}^{2}y + {x}^{2} + {x}^{2}y - x{y}^{2}+ xy + x{y}^{2} - {y}^{3} + {y}^{2} \\ = {x}^{3} - {y}^{3} + {x}^2 + {y}^{2} + xy$