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Қысқаша көбейту формулаларын қолданып, өрнектерді түрлендіру

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Mathematics

7th Grade

Used 206+ times

Қысқаша көбейту формулаларын қолданып, өрнектерді түрлендіру
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Упростите выражение:

Өрнекті ықшамда:

(3x - 2)(3x + 2) - (1 + x)(x - 1)=

8x2- 3

5x2- 3

8x2- 5

5x2- 5

Answer explanation

(3x - 2)(3x + 2) - (1 + x)(x - 1)=3x2-4-x2+1=8x2- 3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Упростите выражение:

Өрнекті ықшамда:

6a - (4a - 3)2

-16a2 + 20a - 9

-16a2 + 30a - 10

-16a2 + 30a - 9

-8a2 + 30a - 9

Answer explanation

6a - (4a - 3)2=6a-16a2+24a-9=-16a2 + 30a - 9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Решите уравнение:

Теңдеуді шеш:

(x - 5)2=5x2 - (2x - 1)(2x + 1)

1

2,4

2

3

Answer explanation

(x - 5)2=5x2 - (2x - 1)(2x + 1)

x5-10x+25=5x2-4x2+1

x5-x5-10x=1-25

-10x=-24

x=24:10

x=2,4

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Разложи на множители:

Көбейткішке жікте:

5a2-5b2

5(a+b)(a+b)

5(a-b)(a+b)

5(a-b)2

5(a-b)(a-b)

Answer explanation

5a2-5b2=5(a2-b2)=5(a-b)(a+b)

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Разложи на множители:

Көбейткішке жікте:

a3-a

a(a-1)(a+1)

a(a+1)(a+1)

a(a-1)2

a(a+1)2

Answer explanation

a3-a=a(a2-1)=a(a-1)(a+1)

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Разложи на множители:

Көбейткішке жікте:

4m3-4mn2

4m2(m+n)(m-n)

4m(m-n)2

4m2(m-n)

4m(m+n)(m-n)

Answer explanation

4m3-4mn2=4m(m2-n2)=4m(m+n)(m-n)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Разложи на множители:

Көбейткішке жікте:

2m(a+b)+a+b

(2m-1)(a+b)

(2m+1)(a-b)

(2m+1)(a+b)

2m(a+b)

Answer explanation

2m(a+b)+a+b=2m(a+b)+1(a+b)=(2m+1)(a+b)

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