Can someone help me with question 3

Mathematics

1 answer:

AveGali [126]2 years ago

7 0

Answer:

A formula can be either recursive or explicit. The main difference between Recursive and Explicit is that Recursive formula gives the value of a specific term based on the previous term while Explicit formula gives the value of a specific term.

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Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor

Nesterboy [21]

Answer:

$64, \ (x+8)^2$

Step-by-step explanation:

A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of $ax^2+bx+c$ .

The given expression is :

$x^2+16x$

The co-efficient of the x-term in $x^2+16x$ is '16'.

So half of the term 16 ,

$\frac{16}{2} = 8$

and $(8)^2=64$

Now add 64 to the expression:

$x^2+16x+64$

Therefore, the perfect square trinomial is

$(x+8)^2=x^2+16x+64$

8 0

3 years ago

How can I simplify this expression

kodGreya [7K]

Usually, "simplify" means to remove any common factors and express the sum as a single fraction, often in multiplie-out form.

If you factor what you've got, you will write it as
$\dfrac{(m+2)(m-2)}{(m+1)}+\dfrac{(m+2)}{(m+1)^2}=\dfrac{m+2}{m+1}\cdot\left((m-2)+\dfrac{1}{m+1}\right)\\\\=\dfrac{m+2}{m+1}\cdot\dfrac{(m-2)(m+1)+1}{m+1}\\\\=\dfrac{(m+2)(m^2-m-1)}{(m+1)^2}\\\\=\dfrac{m^3+m^2-3m-2}{m^2+2m+1}$