Question

$x { }^{2} - 10x + 21$

Answer 1

Yo !!!

x² - 10x - 21

x² - 7x - 3x - 21

x ( x - 7) - 3 ( x - 7)

(x-3) ( x - 7) Answer

Answer 2

$\textbf{Solution :}$
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“We can do this by spliting the middle term”

♦ x² - 10x + 21

= x² - (7 +3)x + 21 ------------Step 1

= x² - 7x - 3x + 21

= x(x - 7) - 3(x - 7) ------------Step 2

= (x - 7) (x - 3) -----------------Step 3

•°• $\textbf{Answer :}$ (x - 7) (x - 3)
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$\textbf{Conclusion :}$
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$\textbf{Step 1}$
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x² - 10x + 21

Here, the middle term is 10x

To split the middle term,

at first, we need to multiply the first term & second term digit.

i.e.
1 × 21
= 21

It's factors are—

7 × 3

So, we can write 7 + 3
because, 7 + 3 = 10

As the middle term digit is 10

$\textbf{Step 2}$
________

From,
x² - 7x - 3x + 21

We need to find the common factors

•°• x² - 7x - 3x + 21

= x(x - 7) - 3(x - 7)

$\textbf{Step 3}$
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From,
x(x - 7) - 3(x - 7)

(x - 7) is common. So, we take it as common.

After that, (x - 3) is left.

So,
•°• We write it as

(x - 7) (x - 3)

Which is the final answer.

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$\textbf{Hope it helps you!}$
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★be brainly★