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Question

State whether the given statement is true or false
(3a2−8ab−2b2)−(3a2−4ab+6b2)=−4ab−8b2

A
True
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B
False
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Solution

The correct option is A True
Let us solve the given expression (3a28ab2b2)(3a24ab+6b2) as shown below:

(3a28ab2b2)(3a24ab+6b2)=3a28ab2b23a2+4ab6b2=(3a23a2)+(8ab+4ab)+(2b26b2)(Combiningliketerms)=(33)a2+(8+4)ab+(26)b2=4ab8b2

Hence, (3a28ab2b2)(3a24ab+6b2)=4ab8b2.

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