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Addition and Subtraction of Algebraic Expression

State True or...

Question

State True or False:
On subtracting the sum of $5 y^{2} + y - 3$ and $y^{2} - 3 y + 7$ from $6 y^{2} + y - 2$ , the answer is $3 y - 6$ .

A

True

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B

False

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Solution

The correct option is A True
$W e c a n d i r e c t l y a d d a n d s u b t r a c t t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, 6 y^{2} + y - 2 - (5 y^{2} + y - 3 + y^{2} - 3 y + 7) ⟹ (6 - 5 - 1) y^{2} + (1 - 1 + 3) y + (- 2 + 3 - 7) = 3 y - 6$

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