3 years ago

Simplify fully (x²+3)² - (x²-1)²

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand factors using FOIL

= $x^{4}$ + 6x² + 9 - ( $x^{4}$ - 2x² + 1) ← distribute by - 1

= $x^{4}$ + 6x² + 9 - $x^{4}$ + 2x² - 1 ← collect like terms

= 8x² + 8

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