Question

(i) Add 8x^2 + 7xy − 6y^2 with −x^2 + y^2 + xy.
(ii) Subtract 4(x + y) from 7x − y.



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Answer 1

Answer:

(i) 7x²+8xy-5y²  

(ii) -3x+5y

Step-by-step explanation:

Before solving the question. You should know some rules:

- -  =  +

+ -  =  -

- +  =  -

+ + =  +

(i)  8x²+7xy-6y²+((-x²)+y²+xy)

    = 8x²+7xy-6y²-x²+y²+xy

    Write x² terms together, y² terms together, and xy terms together

    = 8x²-x²+7xy+xy-6y²+y²

    = 7x²+8xy-5y²  

(ii)  4(x+y) - (7x-y)

     Multiply 4 with terms inside the bracket

   = 4x+4y-7x+y

      Write all the x terms together and all the y terms together

   = 4x-7x+4y+y

   = -3x+5y