Question

Which expression represents 25y2 +34y + 9 in factored form?(y+9)(25y + 1)O(5y + 3)2o (y + 1)(25y +9)(5y+3)(5y - 3)

Answer 1

Solution

Given expression

$25y^2+34y+9$

Required

To find which option represents the expression in factored form

Step 1

Using factorization

The required factors are +9y and +25y

replacing 34y with both factors gives

$\begin{gathered} 25y^2+9y+25y+9 \\ \text{Factorizing gives} \\ y(25y+9)+1(25y+9)_{} \\ (y+1)(25y+9) \end{gathered}$

The required option is (y+1)(25y+9)