Question

4 y square - 17 Y - 21
splitting the middle turm​

Answer 1

4y²-17y-21= 4y²-21y+4y-21=y(4y-21)+1(4y-21)=(y+1)(4y-21);     Please mark the answer as brainliest.

Answer 2

Answer:

$\large\boxed{\sf{(y+1)(4y-21)}}$

Step-by-step explanation:

Given a quadratic expression such that,

$4 {y}^{2} - 17y - 21$

According to the question,

We have to factorise by middle term splitting method.

In this method, middle term should be splitted such that, the product of two splitted terms is equal to the product of the other two terms.

Therefore, we will get,

$= 4 {y}^{2} - 21y + 4y - 21 \\ \\ = 4 {y}^{2} + 4y - 21y - 2y$

Now, taking out the common terms, we get,

$= 4y(y + 1) - 21(y + 1) \\ \\ = (y + 1)(4y - 21)$

Hence, the factors are (y+1) and (4y-21)