Let's find the G.C.D of the following Algebraic expressions:
1. x²+xy, xz+yz, x²+2xy+y²
2. a²-b²-c²+2bc, b²-c²-a²+2ac, c²-a²-b²+2ab
3. 6x²-13xa+6a, 6x²+11xa-10a², 6x²+2xa-4a²
Answers
Answered by
0
Answer:
Q. 3 G
4.8
( 5 Votes )
Let’s find G.C.D
Class 8th
West Bengal - Mathematics
14. HCF and LCM of Algebraic Expression
Answer
Factors of x2 + xy=x(x + y)
Factors of xz + yz=z(x + y)
Factors of x2 + 2xy + y2=(x + y)2 … (from properties of (a + b)2)
GCD is the greatest common divisor, which is equal to the product of all the common divisors.
∴ the GCD of x2 + xy,xz + yz, x2 + 2xy + y2 is (x + y)
PREVIOUS
NEXT
Try our Mini Course
Similar questions
Hindi,
5 hours ago
English,
5 hours ago
Science,
5 hours ago
Accountancy,
9 hours ago
Computer Science,
7 months ago
Science,
7 months ago
Physics,
7 months ago