Question

the hcf of (a3-a2x),(a3-ax2)and (a4-ax3) is
who will answer this question correctly I will give them 5.0 star​

Answer 1

The hcf will be a^3-ax.

Please mark it as the brainliest

Answer 2

Answer:

Concept:

The HCF of $a^{3} - a^{2} x$,  $a^{3} - ax^{2}$ and $a^{4}- a x^{3}$ is $a$.

HCF:

• The largest number that can completely split two numbers is known as the Highest Common Factor (HCF).

• It is also known as Greatest Common Divisor (GCD).

• HCF ($6,9$) = $3$;
• The highest common factor (HCF) for each of these integers is $3$, which is also the largest number that divides each of them.

Given:

• $a^{3} - a^{2} x$
• $a^{3} - ax^{2}$
• $a^{4}- a x^{3}$

To Find:

We have to find the HCF of given terms.

Solution:

Lets find the common factor for the given terms,

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

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

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

∴ Common factor $= a$

Therefore, the Highest Common Factor  of $a^{3} - a^{2} x$,  $a^{3} - ax^{2}$ and $a^{4}- a x^{3}$ is $a$.

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