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1 year ago

99×101 has the same value as (99×100)+1 (99×100)-(99×1) (99×100)+(99×1) (99×100)(99×1)

Mathematics

2 answers:

Nuetrik [128]1 year ago

6 0

99 * 101=

99 * (100+1)

= 99 * 100 + 99*1

(99×100)+(99×1)

liberstina [14]1 year ago

4 0

The answer is (99 * 100) + (99 * 1)

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Step-by-step explanation:

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We have the following expression:

$15x^2 -21 x$

We can find the GCF with the following steps.

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The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

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If we consider the new expression:

$15x^2 +21x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

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