Question

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

Answer 1

`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`