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Chapter 6: Q. 230 (page 604)

How do you recognize the binomial squares pattern?

Short Answer

Expert verified

We can recognize the pattern by squaring a binomial and the product is a perfect square trinomial.

Step by step solution

01

Step 1. Given Information

The given pattern is binomial square pattern

02

Step 2. Explanation

As we know the trinomial ax2+bx+cis called a perfect square trinomial, if it is the square of binomial (ax+b).

Now, to make use of binomial square pattern, recognize that a given trinomial fits it.

First check if the leading coefficient is a perfect square. Next we will check that the last term is a perfect square and then check the middle term is it twice the product of both the terms.

If everything checks easily, write the factors.

When middle term is negative, use the pattern a2-2ab+b2=(a-b)2

And when middle term is positive, use the patterna2+2ab+b2=(a+b)2

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