Question

Factorise the polynomial please!

Answer 1

Here is your answer

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Answer 2

Required Answer:-

Given to Factorise:

$\rm \mapsto ( {y}^{2} + 5y)( {y}^{2} + 5y - 2) - 24$

Solution:

Let us assume that,

$\rm \mapsto x = {y}^{2} + 5y$

Therefore,

$\rm ( {y}^{2} + 5y)( {y}^{2} + 5y - 2) - 24$

$\rm = x(x - 2) - 24$

$\rm = {x}^{2} - 2x - 24$

$\rm = {x}^{2} - 6x + 4x- 24$

$\rm = x(x - 6) + 4(x - 6)$

$\rm = (x + 4)(x - 6)$

Substituting the value of x here, we get,

$\rm = ( {y}^{2} + 5y + 4)( {y}^{2} + 5y - 6)$

$\rm = ( {y}^{2} + y + 4y + 4)( {y}^{2} - y + 6y - 6)$

$\rm = \{y(y + 1) + 4(y + 1) \} \{y(y - 1) + 6(y - 1) \}$

$\rm = (y + 1)(y + 4)(y - 1)(y + 6)$

Hence, the factorised form is (y + 1)(y + 4)(y - 1)(y + 6)

Answer:

• Factorised form is (y + 1)(y + 4)(y - 1)(y + 6)