HCF Solutions vedanta Book 10

2. Find the H.C.F. of the following expressions:

b) (a²-2a) and (a⁴-8a)
Answer

d) (x²-y²) and (x²+2xy+y²)
Answer

f) (4x³+8x²) and (5x³-20x)
Answer

g) (a²-b²-2a+1) and (a²-ab-a)
Answer

h) (x³-8y³) and (x²+2xy+4y²)
Answer

j) (x⁴+4y⁴) and (2x³y+2xy³+4x²y²)
Answer

k) (a³ -1) and (a⁴ +a² +1)
Answer

l) (16x⁴-4x²-4x-1) and (8x³-1)
Answer

3. Find the HCF of the following expressions:

b) x²-9, x³-27 and x²+x-12
Answer

f) m³-m²-m+1, 2m³-2m, 3m²+3m-6
Answer

g) (a +b)² -4ab, a³ -b³, and a² +ab -2b²
Answer

j) x³-1, x⁴+x²+1, x³+1+2x²+2x
Answer

l) x³y+y⁴, x⁴+x²y²+y⁴, 2ax³-2ax²y+2axy²
Answer

n) 9x²-3y²-8yz-4z² 4z²-4y²-9x²-12xy and 9x²+12xz+4z²-4y²
Answer

Find the HCF: $a^4 \ + \ a^2b^2 \ + \ b^4, \ a^3 \ + \ b^3, \ a^3 \ – \ a^2b \ + \ ab^2$
Answer