Question

factorise 1000+8x^3​

Answer 1

Step-by-step explanation:

8(125+x³)

8(5³+x³)

8(5+x)(25-5x+x²)

mark me as brainliest

Answer 2

Answer:

8(5 + x)(25 - 5x + x²)

Step-by-step explanation:

We will solve this using the following identity:

x³ + y³ = (x + y)(x² - xy + y²)

Here, we will take x³ = 1000 and y³ = 8x³

So, x = ∛1000 = 10, and y = ∛(8x³) = 2x

Thus,

1000 + 8x³ = (10 + 2x)(100 - 20x + 4x²)

                  = 8(5 + x)(25 - 5x + x²)

Hence solved