How do you multiply (5x ^ { 2} - 4) ( 6x ^ { 2} - 7)(5x2−4)(6x2−7)?

1 Answer
Shell
Nov 20, 2016

30x^4-59x^2+2830x4−59x2+28

Explanation:

Multiply each term in the first binomial by each term in the second binomial.

(color(red)(5x^2)-color(blue)4)(color(limegreen)(6x^2)-color(magenta)7)(5x2−4)(6x2−7)

color(red)(5x^2) * color(limegreen)(6x^2) + color(red)(5x^2) * color(magenta)(-7) +color(blue)(-4) * color(limegreen)(6x^2)+ color(bllue)(-4) * color(magenta)(-7)5x2⋅6x2+5x2⋅−7+−4⋅6x2+−4⋅−7

30x^4-35x^2-24x^2+2830x4−35x2−24x2+28

Combine like terms

30x^4-59x^2+2830x4−59x2+28

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