verify:x(y+z)=(x*y)+(x*z) , if x=5/6,y=-8/3,z=-13/2.
Answers
Answered by
1
x (y+z)=x (y+z) x is common out from the (x*y)+(x*z) prove both are equal
Answered by
3
LHS = x(y+z)
= 5/6 × (-8/3 + -13/2)
= 5/6 × (-16-39)/6
= 5/6 × -55/6
= -275/36
RHS = (x*y) + (x*z)
= (5/6 × -8/3) + (5/6 × -13/2)
= -40/18 + (-65/12)
= (-80 - 195)/36
= -275/36
hence LHS = RHS. (proved)
= 5/6 × (-8/3 + -13/2)
= 5/6 × (-16-39)/6
= 5/6 × -55/6
= -275/36
RHS = (x*y) + (x*z)
= (5/6 × -8/3) + (5/6 × -13/2)
= -40/18 + (-65/12)
= (-80 - 195)/36
= -275/36
hence LHS = RHS. (proved)
Similar questions