Question

If 2x² + 10x + 12 =a(x + 3) (x + 2), then the value of a is ​

Answer 1

Step-by-step explanation:

2X2+10x+12=a(x+3)(x+2)

2x2+10x+12=a(x2+2x+3x+6)

2x2+10x+12=ax2+2xa+3xa+6a

2x2+10x+12=ax2+5xa+6a

2x2-x2+10x-5x+12-6=a+a+a

x2+5x+6=3a

x2+5x+6-3=a

x2+5x+3=a

2x2=iska matlab 2xka squre

Answer 2

SOLUTION

GIVEN

$\sf 2 {x}^{2} + 10x + 12 = a(x + 3)(x + 2)$

TO DETERMINE

The value of a

EVALUATION

Here the given equation equation is

$\sf 2 {x}^{2} + 10x + 12 = a(x + 3)(x + 2)$

Now we have

$\sf 2 {x}^{2} + 10x + 12 = a(x + 3)(x + 2)$

$\sf \implies \: 2 ({x}^{2} + 5x + 6) = a( {x}^{2} + 3x + 2x + 6)$

$\sf \implies \: 2 ({x}^{2} + 5x + 6) = a( {x}^{2} + 5x + 6)$

Comparing both sides we get a = 2

FINAL ANSWER

Hence the required value of a = 2

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280