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Perfect Square Trinomial Formula
An expression obtained from the square of binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac.

The perfect square formula takes the following forms:

(ax)2 + 2abx + b2 = (ax + b)2
(ax)2 −2abx + b2 = (ax−b)2
Example 1

Factor x2+ 6x + 9

Solution

We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;
x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2

Kids now are having lessons of Greatest Common Factor and Least Common Denominator in Math. They cannot understand how to solve these concepts through finding factors, using division reduction and prime factoring without familiarity of the multiplication table. To be easier for them, use multiplication cards and have 3 to 5 memorization drills daily. See subsequent post on solving Greatest Common Factor and Least Common Denominator

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What Do Adverbs Modify?
An adverb is a word that modifies (describes) a verb (he sings loudly), an adjective (very tall), another adverb (ended too quickly), or even a whole sentence (Fortunately, I had brought an umbrella). Adverbs often end in -ly, but some (such as fast) look exactly the same as their adjective counterparts.

Tom Longboat did not run badly.
Tom is very tall.

The race finished too quickly.

Fortunately, Lucy recorded Tom’s win.

It’s easy to identify adverbs in these sentences.

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Adverbs and Verbs
One of the things adverbs do is modify verbs. This means that they describe the way an action is happening.

Phillip sings loudly in the shower.
My cat waits impatiently for his food.

I will seriously consider your suggestion.

The adverbs in each of the sentences above answer the question in what manner? How does Phillip sing? Loudly. How does my cat wait? Impatiently. How will I consider your suggestion? Seriously. Adverbs can answer other types of questions about how an action was performed. They can also tell you when (We arrived early) and where (Turn here).

However, there is one type of verb that doesn’t mix well with adverbs. Linking verbs, such as feel, smell, sound, seem, and appear, typically need adjectives, not adverbs. A very common example of this type of mixup is

I feel badly about what happened.
Because “feel” is a verb, it seems to call for an adverb rather than an adjective. But “feel” isn’t just any verb; it’s a linking verb. An adverb would describe how you perform the action of feeling—an adjective describes what you feel. “I feel badly” means that you are bad at feeling things. If you’re trying to read Braille through thick leather gloves, then it might make sense for you to say “I feel badly.” But if you’re trying to say that you are experiencing negative emotions, “I feel bad” is the phrase you want.