Question

Help please!!! Thank you

Answer 1

Given:

The given expression is
`(4 d+28)/(12 d+96) \cdot (d^(2)+14 d+48)/(d^(2)+9 d+14)`

We need to multiply the terms.

Multiplication of the terms:

Before multiplying the terms, first we shall find the factors of the quadratic equations.

Thus, we have;

`(4 d+28)/(12 d+96) \cdot ((d+6)(d+8))/((d+2)(d+7))`

Factor out the common terms, we get;

`(4 (d+7))/(12 (d+8)) \cdot ((d+6)(d+8))/((d+2)(d+7))`

Let us cancel the common terms from the above expression.

Thus, we have;

`(4 )/(12 ) \cdot ((d+6))/((d+2))`

Simplifying, the term, we get;

`(1)/(3 ) \cdot ((d+6))/((d+2))`

Now, we shall multiply the terms.

Hence, multiplying the terms, we get;

`((d+6))/(3(d+2))`

Thus, the multiplied value of the given expression is
`((d+6))/(3(d+2))`