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Sagot :

RealNfw

Answer:

[tex]-4x^5y^3-3x^4y^3+x^5y^2[/tex]

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.

[tex](4x^2y+3xy-x^2)(-x^3y^2)[/tex] : 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:

[tex](4x^2y)(-x^3y^2) +(3xy)(-x^3y^2)+(-x^2)(-x^3y^2)[/tex]

Now using the rule above expand the brackets:

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

[tex](3xy)(-x^3y^2) = -3x^4y^3[/tex]

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

Now add them all together:

[tex]-4x^5y^3-3x^4y^3+x^5y^2[/tex]

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