Write the following expression in the form (x+a)^2+b

a)x^2+6x+4

The given expression is equivalent to . In this expression, whereas .

Step-by-step explanation:

Expand using binomial expansion.

.

Compare this expression to to find information about and .

In particular, these two expressions are supposed to be equal to one another. Therefore:

The coefficient of the term in these two expressions should be the same. The coefficient of in both expression is . That does not provide any information about or about . The coefficient of the term in these two expressions should be the same. In the first equation, the coefficient of is . In the second equation, that coefficient is . Therefore, . The constant term of these two expressions should be the same. That gives the equation: .

The first equation implies that . Substitute that value into the second equation and solve for . The conclusion is that and .

Therefore, the original equation is equivalent to .

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,

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