Question

If x=-2/3 and 1/4, find (x+y)+(x- y)​

Answer 1

Answer:

i)x=-2/3and y=1/4

(-2/3+1/4)(-2/3-1/4)

identity (a+b)(a-b)=a^2-b^2

(-2/3)^2-(1/4)^2

=4/9-1/16

lcm of 9,16=144

4/9=64/144

1/16=9/144

so,

now, 64/144-9/144

=55/144

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Answer 2

Answer:

-4/3

Step-by-step explanation:

THERE ARE TWO METHODS TO DO THIS QUESTION

1. THE LONG WAY

I.E.   SOLVING BOTH BRACKETS AND THEN ADDING THEM

LIKE [-2/3+1/4]+[-2/3-1/4]

={[-8+3]/12}+{[-8-3]/12}

=[-5/12]+[-11/12]

=[-16/12]

= [-4/3]

2. THE SHORT METHOD

I.E. CANCELING EQUAL MAGNITUDE VALUES WITH OPPOSITE SIGNS

LIKE  [-2/3+1/4]+[-2/3-1/4]

=[-2/3+1/4-2/3-1/4]

=[-2/3-2/3]

=[-4/3]

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