Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
(40 − 2)2
(40 + 2)2
(29 − 9)2
(29 + 9)2

Respuesta :

Answer:

[tex](40-2)^2[/tex]

Step-by-step explanation:

Given: [tex](38)^2[/tex]

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.

Here, [tex]38=40-2[/tex]

So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]

Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]

Answer:

(40 − 2)^2

Step-by-step explanation:

(First just do simple math to narrow down your choices)

A: (40 − 2)^2

40 - 2 = 38

B: (40 + 2)^2

40 + 2 = 42

C: (29 − 9)^2

29 - 9 = 20

D: (29 + 9)^2

29 + 9 = 38

(Now you just have A and D)

A: (40 − 2)^2

D: (29 + 9)^2

(Determine which properly expresses a Perfect Square Trinomial)

A: (40 − 2)^2

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