How much more than $2 x^{2} + 4 x y + 2 y^{2}$ is $5 x^{2} + 10 x y - y^{2}$ ?
State True or False: The answer is $3 x^{2} + 6 x y - 3 y^{2}$ .

True

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False

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Solution

The correct option is A True
$W e w i l l s u b t r a c t t h e 2 t o f i n d t h e d i f f e r e n c e, W e c a n d i r e c t l y a d d t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, 5 x^{2} + 10 x y - y^{2} - (2 x^{2} + 4 x y + 2 y^{2}) = 3 x^{2} + 6 x y - 3 y^{2}$

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Similar questions

(i) How much more than $2 x^{2} + 4 x y + 2 y^{2} i s 5 x^{2} + 10 x y - y^{2} ?$

(ii) How much less than $2 a^{2} + 1 i s t h a n 3 a^{2} - 6 ?$

3 x^{2} + 2^{2}, - x^{2} - 4 y^{2} + 4 x y

6 x y + 2 x^{2} - 3 y^{2}

- 5 x^{2} + 2 y^{2} - 3 x y

What should be subtracted from 2 x^{2} - 4 y^{2} + 6 x y + 10 to obtain - 2 x^{2} - 3 y^{2} + 6 x y + 10 ?

x^{2} - 3 x y + 8

4 x^{2} + 5 x y - 3

6 - 3 x^{2} + 4 x y

2 x^{2} + 6 x y + 11

Question 45

State whether the statement given is True or False.

Sum of $x^{2} + x$ and $y + y^{2}$ is $2 x^{2} + 2 y^{2}$ .

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