Question

the HCF of (a³-a³x),(a³-ax³)and (a⁴-ax²) is​

Answer 1

Answer:

HCF = a

Step-by-step explanation:

${a}^{3} - {a}^{3} x \: = {a}^{3} (1 - x)$

${a}^{3} (1 - x) = a \times a \times a(1 - x)$

${a}^{3} - a {x}^{3} = a( {a}^{2} - {x}^{3} )$

${a}^{4} - a {x}^{2} = a( {a}^{3} - {x}^{2} )$

Common term of all 3 expressions is a.

Hence, HCF = a