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?
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.
Break up the problem into parts:
"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):
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.