Please calculate the LCM (Least Common Multiple) of 30 and 40.

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Transcript:

Please factor:

x squared

plus 10x

plus 25.

FORMULA:

a squared

plus 2 ab

plus b squared,

equals:

a plus b, all squared.

SOLUTION:

x squared

plus 10x

plus 25, equals:

x squared

plus 2 times x times 5

plus 5 squared

which equals:

x plus 5, all squared.

ANSWER:

x squared

plus 10x

plus 5,

equals:

x plus 5, all squared,

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Transcript:

Please calculate:

x plus 5, all squared.

FORMULA:

a plus b, all squared,

equals:

a squared

plus 2 ab

plus b squared.

SOLUTION:

x plus 5, all squared,

equals:

x squared

plus 2 times x times 5

plus 5 squared

which equals:

x squared

plus 10x

plus 5.

ANSWER:

x plus 5, all squared, equals:

x squared

plus 10x

plus 5.

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Transcript:

01:

a squared

plus 2 ab

plus b squared,

equals:

a plus b, all squared.

02:

a squared

plus 2 ab

plus b squared,

equals:

a plus b, all squared.

03:

a minus b, all squared,

equals:

a squared

minus 2 ab

plus b squared.

04:

a squared

minus 2 ab

plus b squared,

equals:

a minus b, all squared.

05:

a plus b

times

a minus b

equals

a squared minus b squared.

06:

a squared minus b squared

equals

a plus b times a minus b.

07:

a plus b, all cubed,

equals

a cubed

plus 3 a squared b

plus 3 a b squared

plus b cubed.

08:

a cubed

plus 3 a squared b

plus 3 a b squared

plus b cubed

equals

a plus b, all cubed.

09:

a minus b, all cubed

equals

a cubed

minus 3 a squared b

plus 3 a b squared

minus b cubed.

10:

a cubed

minus 3 a squared b

plus 3 a b squared

minus b cubed

equals

a minus b, all cubed.

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Transcript:

Please factor

x cubed

minus 15 x squared

plus 75 x

minus 125.

FORMULA:

a cubed

minus 3 a squared b

plus 3 a b squared

minus b cubed

equals

a minus b, all cubed.

SOLUTION:

x cubed

minus 15 x squared

plus 75 x

minus 125

equals

x cubed

minus 3 times 5 times x squared

plus 3 times 25 times x

minus 125.

Which equals

x cubed

minus 3 times x squared times 5

plus 3 times x times 5 squared

minus 5 cubed.

Which equals

x minus 5, all cubed.

ANSWER:

x cubed

minus 15 x squared

plus 75 x

minus 125

equals

x minus 5, all cubed.

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Transcript:

Please calculate

x minus 5, all cubed.

FORMULA:

a minus b, all cubed

equals

a cubed

minus 3 a squared b

plus 3 a b squared

minus b cubed.

SOLUTION:

x minus 5, all cubed

equals

x cubed

minus 3 times x squared times 5

plus 3 times x times 5 squared

minus 5 cubed.

Which equals

x cubed

minus 3 times 5 times x squared

plus 3 times 25 times x

minus 125.

Which equals

x cubed

minus 15 x squared

plus 75 x

minus 125

ANSWER:

x minus 5, all cubed

equals

x cubed

minus 15 x squared

plus 75 x

minus 125.

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Transcript:

Please factor

x cubed

plus 15 x squared

plus 75 x

plus 125.

FORMULA:

a cubed

plus 3 a squared b

plus 3 a b squared

plus b cubed

equals

a plus b, all cubed.

SOLUTION:

x cubed

plus 15 x squared

plus 75 x

plus 125

equals

x cubed

plus 3 times 5 times x squared

plus 3 times 25 times x

plus 125.

Which equals

x cubed

plus 3 times x squared times 5

plus 3 times x times 5 squared

plus 5 cubed.

Which equals

x plus 5, all cubed.

ANSWER:

x cubed

plus 15 x squared

plus 75 x

plus 125

equals

x plus 5, all cubed.

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Transcript:

Please calculate:

x plus 5, all cubed.

FORMULA:

a plus b, all cubed,

equals

a cubed

plus 3 a squared b

plus 3 a b squared

plus b cubed.

SOLUTION:

x plus 5, all cubed,

equals

x cubed

plus 3 times x squared times 5

plus 3 times x times 5 squared

plus 5 cubed.

Which equals:

x cubed

plus 3 times 5 times x squared

plus 3 times 25 times x

plus 125.

Which equals:

x cubed

plus 15 x squared

plus 75x

plus 125.

ANSWER:

x plus 5, all cubed

equals

x cubed

plus 15 x squared

plus 75x

plus 125.

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Transcript:

Please factor:

x square minus 25.

FORMULA:

a squared minus b squared

equals

a plus b times a minus b.

SOLUTION:

x square minus 25

equals

x square minus 5 square.

Which equals

x plus 5 times x minus 5.

ANSWER:

x square minus 25

equals

x plus 5 times x minus 5.

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