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

1 Answer
Shell
Nov 20, 2016

#30x^4-59x^2+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)#

#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)#

#30x^4-35x^2-24x^2+28#

Combine like terms

#30x^4-59x^2+28#

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