Question

what should be substracted from the sum of
$( - 6x {}^{2} + 9xy - 3y {}^{2} )$
and
$(4y {}^{2} - 8xy - 3x {}^{2} )$
to get
$- 19x {}^{2} - 13xy + 4y {}^{2}$

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Answer 1

10x^2 + 14xy - 3y^2

add the terms with same variables.

after adding the 2 equations we get

-9x^2 + xy + y^2 ------ ♳

-9x^2 + xy + y^2 - A = -19x^2 - 13xy + 4 y^2

transpose -A to that side and the right side equation to the other side .

then A will be +ve and the signs of the equation changes ( 19x^2 + 13 xy - 4y^2) ------ ♴

now add ♳ and ♴

we finally get the answer as

10x^2 + 14xy - 3y^2

i hope you will understand this solution!!

Answer 2

Answer:

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