Question

find this answer if you are geniuses it is so hard

Answer 1

Step-by-step explanation:

Given:

A = 4x² + y² - 6xy

B = 3y² + 12x² + 8xy

C = 6x² + 8y² + 6xy

(i) A + B + C:

= 4x² + y² - 6xy + 3y² + 12x² + 8xy + 6x² + 8y² + 6xy

= 22x² + 8xy + 12y².

(ii) (A - B) - C:

= (4x² + y² - 6xy - 3y² - 12x² - 8xy) - (6x² + 8y² + 6xy)

= 4x² + y² - 6xy - 3y² - 12x² - 8xy - 6x² - 8y² - 6xy

= -14x² - 10y² -20xy

(iii) 2A + B :

= 2(4x² + y² - 6xy) + 3y² + 12x² + 8xy

= 8x² + 2y² - 12xy + 3y² + 12x² + 8xy

= 20x² - 4xy + 5y²

(iv) A - 3B:

= 4x² + y² - 6xy - 3(3y² + 12x² + 8xy)

= 4x² + y² - 6xy - 9y² - 36x² - 24xy

= -32x² - 30xy - 8y².

Hope it helps!