Question

LOOK AT THE PICTURE ATTACHED FOR THE QUESTION GIVING OUT EXTRA POINTS IF THE ANSWER IS RIGHT!!!!

Answer 1

`-4x^5y^3-3x^4y^3+x^5y^2`

Explanation:

You need to know this indice rule:

If you multiply two terms with the same base, then add their powers and multiply their coefficients.

`(4x^2y+3xy-x^2)(-x^3y^2)` : Here we have to multiply each term in the first pair of brackets by the term in the second pair of brackets.

So we can split this into parts:

`(4x^2y)(-x^3y^2) +(3xy)(-x^3y^2)+(-x^2)(-x^3y^2)`

Now using the rule above expand the brackets:

`(4x^2y)(-x^3y^2) = -4x^5y^3` : Notice how
`y * y^2 =y^3` since
`y`
`= y^1` so
`1 + 2 = 3`.

`(3xy)(-x^3y^2) = -3x^4y^3`

`(-x^2)(-x^3y^2)`
`= x^5y^2` : Be careful with negatives, two negatives make a positive.

Now add them all together:

`-4x^5y^3-3x^4y^3+x^5y^2`