Question

Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.

Answer 1

Answer:

$(40-2)^2$

Step-by-step 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 $(40-2)^2$