Question

por favor me ajudem​

Answer 1

Explicação passo-a-passo:

A5

${ {(a}^{2} m + {b}^{2}n) }^{2} = { ({am}^{2} )}^{2} + 2 \times {a}^{2}m \times {b}^{2} n + {( {b}^{2} n)}^{2} = {a}^{2} {m}^{4} + 2 {a}^{2} {b}^{2} mn + {b}^{4} {n}^{2}$

A1

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

A2

${(2x + 3y)}^{2} = {(2x)}^{2} + 2 \times 2x \times 3y + {(3y)}^{2} = 4 {x}^{2} + 12xy + 9 {y}^{2}$

A3

${(3x + 2y)}^{2} = {(3x)}^{2} + 2 \times 3x \times 2y + {(2y)}^{2} = 9 {x}^{2} + 12xy + 4 y{}^{2}$

A4

${(5x + 3y)}^{2} = {(5x)}^{2} + 2 \times 5x \times 3y + {(3y)}^{2} = 25 {x}^{2} + 30xy + 9 {y}^{2}$

A6

${(5 {x}^{2} + 3y) }^{2} = {(5 {x}^{2} )}^{2} + 2 \times 5 {x}^{2} \times 3y + {(3y)}^{2} = 25 {x}^{4} + 30 {x}^{2} y + 9 {y}^{2}$

A7

${(2m {n}^{2} + 5m) }^{2} = {(2m {n}^{2})}^{2} + 2 \times 2m {n}^{2} \times 5m + {(5m)}^{2} = 4 {m }^{2} {n}^{4} + 20 {m}^{2} {n}^{2} + 25 {m}^{2}$

A8

${(5 {x}^{2} y + 3y)}^{2} = {(5 {x}^{2}y) }^{2} + 2 \times (5 {x}^{2} y )\times (3y) + {(3y)}^{2} = 25 {x}^{4} {y}^{2} + 30 {x}^{2} {y}^{2} + 9 {y}^{2}$