Question

Find the LCM of 2a² + 7a+ 3 and a² + 6a +9​

Answer 1

$\huge\mathfrak\blue{Answer:-}$

LCM of 2a²+7a+ 3 is 3

LCM of a²+6a+9 = 3

Answer 2

Answer:

${(a + 3)}^{2} (2a + 1)$

Step-by-step explanation:

2a^2 + 7a + 3

= 2a^2 + a + 6a + 3

= a(2a + 1) + 3( 2a + 1 )

= ( 2a + 1 )(a + 3 )

And,

${a}^{2} + 6a + 9 \\ = {a}^{2} + 2.a.3 + {3}^{2} \\ = {(a + 3)}^{2}$

Therefore required LCM

${(a + 3)}^{2} (2a + 1)$