Question

trinomio al cuadrado perfecto
(x+2)2
(x+y)2
(3x+4y)2
(m+3)2

Answer 1

Explicación paso a paso:

Teniendo en cuenta que

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

entonces

${(x + 2)}^{2} = {x}^{2} + 2x(2) + {2}^{2} \\ = {x}^{2} + 4x + 4$

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

${(3x +4 y)}^{2} = {(3x)}^{2} + 2(3x)(4y) + {(4y)}^{2} \\ = 9 {x}^{2} + 24xy + 16 {y}^{2}$

${(m + 3)}^{2} = {m}^{2} + 2m(3) + {3}^{2} \\ = {m}^{2} + 6m + 9$

Espero te sirva...