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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

2 Answers

0 votes

Answer:

(40 − 2)^2

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

I just took the test.

User Iran
by
6.2k points
4 votes

Answer:


(40-2)^2

Explanation:

Given:
(38)^2

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
(x-y) to itself, a perfect square trinomial
(x-y)^2 is obtained.

Here,
38=40-2

So,
(38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2

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

User BLeB
by
6.7k points