How do you multiply (x^2-3)(x^2+2)(x2−3)(x2+2)?

1 Answer
smendyka
Jan 11, 2017

To solve, multiply each individual term in the left parenthesis by each individual term in the right parenthesis and then combine like terms. See full process below:

Explanation:

To solve, first multiply each individual term in the left parenthesis by each individual term in the right parenthesis:

(color(red)(x^2) - color(red)(3))(color(blue)(x^2) + color(blue)(2))(x2−3)(x2+2) becomes:

(color(red)(x^2) xx color(blue)(x^2)) + (color(red)(x^2) xx color(blue)(2)) - (color(red)(3) xx color(blue)(x^2)) - (color(red)(3) xx color(blue)(2))(x2×x2)+(x2×2)−(3×x2)−(3×2)

x^4 + 2x^2 - 3x^2 - 6x4+2x2−3x2−6

We can now combine like terms:

x^4 + (2- 3)x^2 - 6x4+(2−3)x2−6

x^4 - x^2 - 6x4−x2−6

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