Step-by-step explanation:

B) (6000 x 172 ) - ( 6000 × 2)

Ans : 1,032,000 - 12000

= 1,020,000

C)(6524 x 69 ) + (6524 × 31 )

Ans : 450,156 + 202244

= 456,680

Verified answer

[tex]\star\;{\underline{\boxed{\pmb{\purple{\frak{\; Question\:1\; : -}}}}}}[/tex]

[tex] \\ \\ [/tex]

[tex]\large\underline\color{green}{\sf{Given\: : - }}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] (6000 × 170) - (6000 × 2)

[tex]\large\underline\color{green}{\sf{To\:Find\: : - }}[/tex]Value of (6000 × 170) - (6000 × 2) using distributive property.

[tex]\large\underline\color{green}{\sf{Solution\: : - }}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] (6000 × 170) - (6000 × 2)

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] 6000 (170 - 2)

We use distributive property that is : -

[tex]\color{Red}\boxed{a (b+c) = (a×b) - (a×c) }[/tex]

Here, multiplication is distributed over subtraction.So,

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] 6000 × 170

[tex]\:\:\:\:\:\:\:\:\:\:[/tex][tex]\color{black}\boxed{Final\:Answer\:=\: 10,20,000}[/tex]

Hence, the value of (6000 × 170) - (6000 × 2) is 10,20,000

___________________________

[tex]\star\;{\underline{\boxed{\pmb{\purple{\frak{\; Question\:2\; : -}}}}}}[/tex]

[tex] \\ \\ [/tex]

[tex]\large\underline\color{green}{\sf{Given\: : - }}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] (6524 × 69) + (6524 × 31)

[tex]\large\underline\color{green}{\sf{To\:Find\: : - }}[/tex]Value of (6524 × 69) + (6524 × 131) using distributive property.

[tex]\large\underline\color{green}{\sf{Solution\: : - }}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] (6524 × 69) + (6524 × 31)

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] 6524 (69 +31)

We use distributive property that is : -

[tex]\color{Red}\boxed{a (b+c) = (a×b) + (a×c) }[/tex]

Here, multiplication is distributed over subtraction.So,

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] 6524 × 100

[tex]\:\:\:\:\:\:\:\:\:\:[/tex][tex]\color{black}\boxed{Final\:Answer\:=\: 6,52,400}[/tex]

Hence, the value of (6524 × 69) + (6524× 31) is 6,52,000

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