# How do you write an algebraic expression of product of 9 and t squared, increased by the sum of the square of t and 2?

##### 2 Answers

#### Answer:

OR

#### Explanation:

The product of 9 and t squared, increased by the sum of the square of t and 2.

The words 'product' and 'sum' are always used with the word 'AND" indicating which two values are multiplied or added.

'Increased by' means add.

'The PRODUCT of 9 AND t squared' is not quite clear and could be :

Although the latter should be written as 'The product of 9 and t, all squared.'

'the SUM of the square of t AND 2' is

So the first expression ,

The brackets are not necessary but I have left them in for clarity.

This highlights the need for clear precise English with the correct use of Grammar to avoid any misunderstanding.

#### Answer:

Break up the problem into parts:

#### Explanation:

"t squared"

"the product of 9 and t squared"

"square of t"

"sum of square of t and 2"

Then we only have to increase (=add) (A) by (B):

**Note:**

If the original question had been "the sum of squares" (plural!), then answer (B) would have been

If the question meant (9 plus t) squared, answer (A) would be:

In short, if I were the maths teacher , I wouldn't be happy with the way I worded this problem -- there are a few ambuigities.