Question

Sabendo que A • B = C + D, determine o monômio D, sendo A = 2x²y³, B = -4xy e C = - 14x³y⁴.

Answer 1

$(2 x^{2} Y^{3} ).( -4XY) = (-14 x^{3} Y^{4}) + D \\ \\ -8 x^{3} Y^{4} = -14 x^{3} Y^{4} + 6 x^{3} Y^{4} \\ \\ -8 x^{3} Y^{4} = -8 x^{3} Y^{4} \\ \\ \\ D = 6 x^{3} Y^{4}$

Answer 2

A • B - C = D
 D = 2x²y³(-4xy) - (- 14x³y⁴)D = - 8x³y^4 + 14x³y⁴ ==> 6x³y⁴