Question

simplify-

x=5,y=4 and z=3

1) 3x + (-5y) - 7z +14xyz
2) -13xy + 12yz - (-17zx)


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Answer 1

Answer:

Answer

Using Pythagoras theorem in right triangle ABC, we obtain

AC

2

=AB

2

+BC

2

⇒(5+2)

2

+(2−t)

2

={(5−2)

2

+(2+2)

2

}+{(2+2)

2

+(−2−t)

2

}

⇒49+(4−4t+t

2

)=(9+16)+(16+4+4t+t

2

)

⇒t

2

−4t+53=t

2

+4t×45

⇒−8t=−8

⇒t=1

Answer 2

Answer:

Given :-

x = 5 , y = 4 , z = 3

To solve :-

1) 3x + (-5y) - 7z +14xyz

2) -13xy + 12yz - (-17zx)

Solution :-

1) 3x + (-5y) - 7z +14xyz

⇒3(5) + [-5(4)] - 7(3) + 14(5)(4)(3)

⇒15 - 20 - 21 + 840

⇒814

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2) -13xy + 12yz - (-17zx)

⇒ -13(5)(4) + 12(4)(3) - [-17(3)(5)]

⇒ -260 + 144 + 255

⇒ -116 + 255

⇒ 139

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