# What is the standard form of y= (x-3)(x^3-5)-3x^4-5?

Jun 4, 2017

Multiply through and collect like terms to find the solution:

$y = - 2 {x}^{4} - 3 {x}^{3} - 5 x + 10$

#### Explanation:

y=(x−3)(x^3−5)−3x^4−5

Multiply the two sets of brackets using the 'FOIL - firsts, outers, inners, lasts' rule. It's a simple way to ensure that we don't forget any of the necessary multiplications:

y=(x^4-3x^3-5x+15)−3x^4−5

Now collect like terms to find the solution:

$y = - 2 {x}^{4} - 3 {x}^{3} - 5 x + 10$

Note that the terms are written in decreasing orders of powers of $x$.