State whether True or False-Multiply- 3-23xy-57y2 - 37x2y by -21x2y2-The answer is -63x2y2-14x3y3-15x2y4-9x4y3-

The correct option is A True (3 23x^2y^2+57y^2 37x^2y)( 21x^2y^2)=3( 21x^2y^2) 23xy( 21x^2y^2)+57y^2( 21x^2y^2) 37x^2y( 21x^2y^2) = 63x^2y^2+14x^3y^3 ...

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Byju's Answer

Standard VIII

Mathematics

Expansion of (x^2 - y^2)

State whether...

Question

State whether True or False.
Multiply: $3 - \frac{2}{3} x y + \frac{5}{7} y^{2} - \frac{3}{7} x^{2} y$ by $- 21 x^{2} y^{2}$ .
The answer is $- 63 x^{2} y^{2} + 14 x^{3} y^{3} - 15 x^{2} y^{4} + 9 x^{4} y^{3}$ .

True

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False

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Solution

The correct option is A True
$(3 - \frac{2}{3} x^{2} y^{2} + \frac{5}{7} y^{2} - \frac{3}{7} x^{2} y) (- 21 x^{2} y^{2}) = 3 (- 21 x^{2} y^{2}) - \frac{2}{3} x y (- 21 x^{2} y^{2}) + \frac{5}{7} y^{2} (- 21 x^{2} y^{2}) - \frac{3}{7} x^{2} y (- 21 x^{2} y^{2})$
$= - 63 x^{2} y^{2} + 14 x^{3} y^{3} - 15 x^{2} y^{4} - 9 x^{4} y^{3}$

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State whether True or False.Multiply: 3−23xy+57y2−37x2y by −21x2y2.The answer is −63x2y2+14x3y3−15x2y4+9x4y3.

The correct option is A True(3−23x2y2+57y2−37x2y)(−21x2y2)=3(−21x2y2)−23xy(−21x2y2)+57y2(−21x2y2)−37x2y(−21x2y2)=−63x2y2+14x3y3−15x2y4−9x4y3

State whether True or False.
Multiply: $3 - \frac{2}{3} x y + \frac{5}{7} y^{2} - \frac{3}{7} x^{2} y$ by $- 21 x^{2} y^{2}$ .
The answer is $- 63 x^{2} y^{2} + 14 x^{3} y^{3} - 15 x^{2} y^{4} + 9 x^{4} y^{3}$ .