Question

the hcf of (a^3-a^2x),(a^3-ax^2),

Answer 1

Answer:

1. a
2. ${a}^{3} - a ^{2x} \: \: \: \\ a ^{3} - a ^{2} x$
3. $a {}^{2} (a - a ^{x} ) \\ a {}^{2} (a - x)$
4. $a {}^{2} \: \: \: is \: the \: answer$

Answer 2

Answer:

The HCF is a(a-x)

Step-by-step explanation:

Factorisation of

$(a^{3} - a^{2}x)= a\times a\times (a - x)$            ...(1)

Factorisation of

$a^{3} - ax^{2} = a\times (a^{2} - x^{2}) = a\times (a - x)\times (a + x)$   ...(2)

HCF is a common term in equation 1 and equation 2

so HCF = $a\times (a - x)$