LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)
What is Least Common Multiple?
Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.
We have to factorise 4x²-100 which is of the form A²-B²,
= (2x)² -(10)²
= (2x+10)(2x-10)
= 2×2(x+5)(x-5)
= 4(x+5)(x-5).
We have to factorise 4x + 20
= 4(x+5)
LCM of 4x²-100 and 4x + 20 = 4(x+5)(x-5).
Hence, LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)
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