Question

Q1) Factorise the following questions
I) 8x²- 72xy + 12 x
ii) 12x²- 27
​

Answer 1

Answer:

We first factorize each term of the given polynomial 8x 2 −72xy+12x as shown below:

• 8x2=2×2×2×x×x
• 72xy=2×2×2×3×3×x×y
• 2x=2×2×3×x

The common factors of 8x 2 ,72xy and 12x are 2,2 and x, therefore, the HCF is:

2×2×x=4x

Thus, taking out the HCF, we have:

8x 2 −72xy+12x=4x(2x−18y+3)

Hence, 8x 2 −72xy+12x=4x(2x−18y+3).

"Hope this Helpful."

Answer 2

$1) {8x}^{2} - 72xy + 12x$

= 4x (2x - 18y + 3x)