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miskamm [114]
3 years ago
13

Can someone help me with this. Will Mark brainliest .

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
False I think, I could understand what the last word meant tho.
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BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!
Yuliya22 [10]

Answer:

(x + 1)(x - 1)(x² + 9)

Step-by-step explanation:

Factorise the following:

\longrightarrow x⁴ + 8x² - 9

\sf x^4 = {(x^2)}^{2}:

\longrightarrow \sf {(x^2)}^{2} + 8x^2 - 9

The factors of -9 that sum to 8 are 9 and -1.

So,

\longrightarrow \sf {(x^2)}^{2} + (9 - 1)x^2 - 9

\longrightarrow \sf {(x^2)}^{2} + 9x^2 - x^2 - 9

\longrightarrow x²(x² + 9) - 1(x² + 9)

\longrightarrow (x² - 1)(x² + 9)

x² - 1 = x² - 1²:

(x² - 1²)(x² + 9)

Factor the difference of two squares.

x² - 1² = (x + 1)(x - 1):

\longrightarrow (x + 1)(x - 1)(x² + 9)

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