Question

Factorise: 4a²-9b²-2a-3b​

Answer 1

Step-by-step explanation:

${\large{\bf{\underline{\orange{Question :→}}}}}$

Factorise: 4a² - 9b² - 2a - 3b

${\large{\bf{\underline{\orange{Solution :→}}}}}$

The given equation is :

${\bold{\tt{: \: ⟹ \: \: \: \: \: 4a² \: - \: 9b² \: - \: 2a \: - \: 3b}}}$

We can write it as,

${\bold{\tt{: \: ⟹ \: \: \: \: \: (2a)² \: - \: (3b)² \: - \: (2a + 3b)}}}$

Apply,

$: \: ⟹ \: \: \: \: \: {\bold{\tt{\fbox{\pink{a² \: - \: b² \: = \: (a + b)(a - b)}}}}}$

${\bold{\tt{: \: ⟹ \: \: \: \: \: (2a \: + \: 3b)(2a \: - \: 3b) \: - \: (2a \: + \: 3b)}}}$

${\bold{\tt{: \: ⟹ \: \: \: \: \: (2a \: + \: 3b) [(2a \: - \: 3b) \: - \: 1]}}}$

${\bold{\tt{: \: ⟹ \: \: \: \: \: (2a \: + \: 3b) (2a \: - \: 3b \: - \: 1}}}$

Answer 2

Answer:

Question:→

Factorise: 4a² - 9b² - 2a - 3b

Solution:→

The given equation is :

➡ 4a²−9b²−2a−3b

We can write it as,

➡ (2a)² − (3b)² − (2a+3b)

Apply,

a² - b² = (a + b)(a - b)

➡ (2a + 3b) (2a - 3b) − (2a + 3b)

➡ (2a + 3b) [(2a - 3b) -1 ]

➡ (2a + 3b) (2a - 3b - 1 )