Question

Find the numerical value of the following expressions x= 2/3 and y=-3/2

a) 3x+ 6y-10
b) x²+ 2xy +y²
c) (x + y)(x -y)
d) (x-y)equation2​

Answer 1

Explanation:

when x=2/3 and y=-3/2

(a)

• 3x+6y-10
• 3(2/3)+6(-3/2)-10
• (6/3)+(-18/2)-10
• 2-9-10
• -17

(b)

• (2/3)^2 +2(2/3×-3/2)+(-3/2)^2
• (4/9)+2(-1)+(9/4)
• 4/9-2+9/4
• l.c.m
• 16-72+81/36
• 25/36

(c)

• (2/3+(-3/2))×(2/3-(-3/2)
• (2/3-3/2)×(2/3+3/2)
• l.c.m
• (-5/6)×(13/6)
• (-5×13/6×6)
• (-65/36)
• -65/36

(d)

• (x-y)
• (2/3-(-3/2)
• (2/3+3/2)
• from l.c.m
• (4+9/6)
• 13/6