Қысқаша көбейту формуласы

Authored by Алтын Мирамбек

Mathematics

7th Grade

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14 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$(3 а - 2 б) (3 а + 2 б) =$ $\left(3a-2b\right)\left(3a+2b\right)=$ $(3 а - 2 б) (3 а + 2 б) =$

$9 а^{2} + 4 б^{2}$ $9a^2+4b^2$ $9 а^{2} + 4 б^{2}$

$9 а - 4 б$ $9 а - 4 б$

$9 а^{2} - 4 б^{2}$ $9a^2-4b^2$ $9 а^{2} - 4 б^{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$6 4^{2} - 3 6^{2} =$ $64^2-36^2=$ $6 4^{2} - 3 6^{2} =$

3800

5392

2800

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

x=-11; x=11

x=-11; x=1

x=0; x=13

x=13

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

y=-2; y=2

y=-2; y=0; y=1

y=-2; y=2; y=0

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

${(3 а + 2 б)}^{2} =$ $\left(3a+2b\right)^2=$ $(3 а + 2 б)^{2} =$

$9 а^{2} - 6 а б + 4 б^{2}$ $9a^2-6ab+4b^2$ $9 а^{2} - 6 а б + 4 б^{2}$

$9 а^{2} - 12 а б + 4 б^{2}$ $9a^2-12ab+4b^2$ $9 а^{2} - 12 a b + 4 б^{2}$

$9 а^{2} + 12 а б + 4 б^{2}$ $9a^2+12ab+4b^2$ $9 а^{2} + 12 a b + 4 б^{2}$

$9 а^{2} - 9 а б - 4 б^{2}$ $9a^2-9ab-4b^2$ $9 а^{2} - 9 а б - 4 б^{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

${(7 а - 3)}^{2} =$ $\left(7a-3\right)^2=$ $(7 а - 3)^{2} =$

$49 а^{2} + 42 а + 9$ $49a^2+42a+9$ $49 а^{2} + 42 а + 9$

$49 а^{2} - 42 + 9$ $49a^2-42+9$ $49 а^{2} - 42 + 9$

$49 а^{2} - 42 а + 9$ $49a^2-42a+9$ $49 а^{2} - 42 а + 9$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$4 а^{2} + 20 а + 25$ $4a^2+20a+25$ $4 а^{2} + 20 а + 25$

${(2 + 5 а)}^{2}$ $\left(2+5a\right)^2$ $(2 + 5 а)^{2}$

${(2 а + 5)}^{2}$ $\left(2a+5\оң)^2$ $(2 а + 5)^{2}$

${(а + 2 б)}^{2}$ $\left(a+2b\right)^2$ $(а + 2 б)^{2}$

${(2 а - б)}^{3}$ $\left(2a-b\right)^3$ $(2 а - б)^{3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

${(м^{3} + 6 n^{2})}^{2} - {(6 n^{2} - м^{3})}^{2} =$ $\сол(м^3+6n^2\оң)^2-\сол(6n^2-м^3\оң)^2=$ $(м^{3} + 6 н^{2})^{2} - (6 н^{2} - м^{3})^{2} =$ Өрнегін ықшамда

$24 м^{2} n^{3}$ $24м^2н^3$ $24 м^{2} н^{3}$

$12 м^{2} n^{2}$ $12м^2н^2$ $12 м^{2} н^{2}$

$24 м^{3} n^{2}$ $24м^3n^2$ $24 м^{3} н^{2}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

${(3, 1 n^{3} - 5 м)}^{2} + (5 м - 3, 1 n^{3}) (5 м + 3, 1 n^{3}) =$ $\ \ \сол(3,1н^3-5м\оң)^2+\сол(5м-3,1н^3\оң)\сол(5м+3,1н^3\оң)=$ $(3, 1 н^{3} - 5 м)^{2} + (5 м - 3, 1 н^{3}) (5 м + 3, 1 н^{3}) =$

$50 м^{2} - 31 n^{3} м$ $50м^2-31н^3м$ $50 м^{2} - 31 н^{3} м$

$48 м^{2} - 30 n^{3} м$ $48м^2-30н^3м$ $48 м^{2} - 30 н^{3} м$

$1$ $1$

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Қысқаша көбейту формуласы

( 3 а − 2 б ) ( 3 а + 2 б ) = \left(3a-2b\right)\left(3a+2b\right)= ( 3 а − 2 б ) ( 3 а + 2 б ) =

6 4 2 − 3 6 2 = 64^2-36^2= 6 4 2 − 3 6 2 =

( 3 а + 2 б ) 2 = \left(3a+2b\right)^2= ( 3 а + 2 б ) 2 =

( 7 а − 3 ) 2 = \left(7a-3\right)^2= ( 7 а − 3 ) 2 =

4 а 2 + 20 а + 25 4a^2+20a+25 4 а 2 + 2 0 а + 2 5

( м 3 + 6 n 2 ) 2 − ( 6 n 2 − м 3 ) 2 = \сол(м^3+6n^2\оң)^2-\сол(6n^2-м^3\оң)^2= ( м 3 + 6 н 2 ) 2 − ( 6 н 2 − м 3 ) 2 = Өрнегін ықшамда

( 3 , 1 n 3 − 5 м ) 2 + ( 5 м − 3 , 1 n 3 ) ( 5 м + 3 , 1 n 3 ) = \ \ \сол(3,1н^3-5м\оң)^2+\сол(5м-3,1н^3\оң)\сол(5м+3,1н^3\оң)= ( 3 , 1 н 3 − 5 м ) 2 + ( 5 м − 3 , 1 н 3 ) ( 5 м + 3 , 1 н 3 ) =

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$(3 а - 2 б) (3 а + 2 б) =$ $\left(3a-2b\right)\left(3a+2b\right)=$ $(3 а - 2 б) (3 а + 2 б) =$

$6 4^{2} - 3 6^{2} =$ $64^2-36^2=$ $6 4^{2} - 3 6^{2} =$

${(3 а + 2 б)}^{2} =$ $\left(3a+2b\right)^2=$ $(3 а + 2 б)^{2} =$

${(7 а - 3)}^{2} =$ $\left(7a-3\right)^2=$ $(7 а - 3)^{2} =$

$4 а^{2} + 20 а + 25$ $4a^2+20a+25$ $4 а^{2} + 20 а + 25$

${(м^{3} + 6 n^{2})}^{2} - {(6 n^{2} - м^{3})}^{2} =$ $\сол(м^3+6n^2\оң)^2-\сол(6n^2-м^3\оң)^2=$ $(м^{3} + 6 н^{2})^{2} - (6 н^{2} - м^{3})^{2} =$ Өрнегін ықшамда

${(3, 1 n^{3} - 5 м)}^{2} + (5 м - 3, 1 n^{3}) (5 м + 3, 1 n^{3}) =$ $\ \ \сол(3,1н^3-5м\оң)^2+\сол(5м-3,1н^3\оң)\сол(5м+3,1н^3\оң)=$ $(3, 1 н^{3} - 5 м)^{2} + (5 м - 3, 1 н^{3}) (5 м + 3, 1 н^{3}) =$