Question

Formula a^+ab+b^ factorize the following. 243x^ + 54x^ +3

Answer 1

Step-by-step explanation:

243x²+54x+3

243 = 3^5 = (9√3)²

3 = (√3)²

54 = 2×9√3×√3

Now given equation can be written as

(9√3)²+2×9√3×√3+(√3)²

As we know a²+2ab+b² = (a+b)²

So, above equation will become

(9√3 + √3)²

(10√3)²

100×3

300

Hope it will help you!