Question

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

Answer 1

Answer:

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

Step-by-step 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:

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