Write the expression (y 7) ^2 - 100 as the product of two linear binomials

To answer this problem, you have to have a good foundation in factoring polynomial expressions. It has to be taken into account the knowledge in division and fractions.

The expression

(y+7) ^2 - 100

can be factored as

[ (y+7) + 10 ] [ (y+7) - 10 ]

Further simplifying the expressions

[ y + 7 + 10 ] [ y + 7 - 10 ]

(y + 17) (y - 3)

So the product of two linear binomials is

(y+17) (y-3)