Multiply-3 x2 y-5 x y2 by 15 x 2-13 y 2

To multiply, we will use distributive law as follows: 3x2y 5xy215x2+13y2=15x23x2y 5xy2+13y23x2y 5xy2=35x4y x3y2+x2y3 53xy4 Thus, the answer is 35x4y x3y2+x2y3 ...

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Byju's Answer

Standard VII

Mathematics

Addition and Subtraction of Algebraic Expressions

Multiply:3 x2...

Question

Multiply:
(3x²y − 5xy²) by $(\frac{1}{5} x^{2} + \frac{1}{3} y^{2})$

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Solution

To multiply, we will use distributive law as follows:

$(3 x^{2} y - 5 x y^{2}) (\frac{1}{5} x^{2} + \frac{1}{3} y^{2}) = \frac{1}{5} x^{2} (3 x^{2} y - 5 x y^{2}) + \frac{1}{3} y^{2} (3 x^{2} y - 5 x y^{2}) = \frac{3}{5} x^{4} y - x^{3} y^{2} + x^{2} y^{3} - \frac{5}{3} x y^{4}$

Thus, the answer is $\frac{3}{5} x^{4} y - x^{3} y^{2} + x^{2} y^{3} - \frac{5}{3} x y^{4}$ .

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Multiply: (3x2y − 5xy2) by 15x2 + 13y2

To multiply, we will use distributive law as follows: 3x2y-5xy215x2+13y2=15x23x2y-5xy2+13y23x2y-5xy2=35x4y-x3y2+x2y3-53xy4 Thus, the answer is 35x4y-x3y2+x2y3-53xy4.

Multiply:
(3x²y − 5xy²) by $(\frac{1}{5} x^{2} + \frac{1}{3} y^{2})$