All Courses

Home

Quantitative Aptitude

Geometry

Simplify the given expression.2(2x−3)+4(x22−3x+4)2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)2(2x−3)+4(2x2−3x+4)

Question

Simplify the given expression.
$2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)$

$2x^2 - 8x + 10$

$2x^2 + 8x + 10$

$2x^2 + 8x - 10$

$2x^2 - 8x - 10$

Solution

Correct option is A

Given:

$2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)$

Solution:

Break in two terms

$2(2x - 3) = 4x - 6$

Second term;

$4\left(\frac{x^2}{2} - 3x + 4\right)$

$4\left(\frac{x^2}{2} - 3x + 4\right) \\ \ \\ = 4 \times \frac{x^2}{2} - 4 \times 3x + 4 \times 4$

$= 2x^2 - 12x + 16$

Now, Combining terms;

$(4x - 6) + (2x^2 - 12x + 16)$

$= 2x^2 + 4x - 12x - 6 + 16$

$= 2x^2 - 8x + 10$

Free Tests

Free

Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

English

100 Questions
100 Marks
90 Mins

English

Free

Must Attempt

CBT-1 Full Mock Test 1

English

100 Questions
100 Marks
90 Mins

English

Free

Must Attempt

RRB Group D Full Mock Test 1

English

100 Questions
100 Marks
90 Mins

English

Access ‘RRB Group D’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

BUY NOW

446k+ students have already unlocked exclusive benefits with Test Prime!

Suggested Test Series

RRB NTPC Under Graduate (CBT 1 + CBT 2) 2025-26 Mock Test

1023 Tests + 2 Free Tests

RRB Group D 2025-26 Mock Test

903 Tests + 3 Free Tests

RRB ALP (CBT 1 + CBT 2 + Psycho) 2026 Mock Test

611 Tests + 3 Free Tests

Current Affairs Cracker for all SSC, Railway, Central & State Exams Mock Test

566 Tests + 3 Free Tests

RRB NTPC Graduate (CBT 1 + CBT 2 + Psycho) 2025-26 Mock Test

952 Tests + 3 Free Tests

Access ‘RRB Group D’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

BUY NOW

446k+ students have already unlocked exclusive benefits with Test Prime!

Suggested Test Series

RRB NTPC Under Graduate (CBT 1 + CBT 2) 2025-26 Mock Test

1023 Tests + 2 Free Tests

RRB Group D 2025-26 Mock Test

903 Tests + 3 Free Tests

RRB ALP (CBT 1 + CBT 2 + Psycho) 2026 Mock Test

611 Tests + 3 Free Tests

Current Affairs Cracker for all SSC, Railway, Central & State Exams Mock Test

566 Tests + 3 Free Tests

RRB NTPC Graduate (CBT 1 + CBT 2 + Psycho) 2025-26 Mock Test

952 Tests + 3 Free Tests

Simplify the given expression.
$2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)$

$2x^2 - 8x + 10$

$2x^2 + 8x + 10$

$2x^2 + 8x - 10$

$2x^2 - 8x - 10$

Correct option is A

Free Tests

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

CBT-1 Full Mock Test 1

RRB Group D Full Mock Test 1

Similar Questions

Access ‘RRB Group D’ Mock Tests with

Access ‘RRB Group D’ Mock Tests with

Similar Questions

Discover Our Other Platforms

Simplify the given expression.​2(2x−3)+4(x22−3x+4)2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)2(2x−3)+4(2x2​−3x+4)​​​​​

​2x2−8x+102x^2 - 8x + 102x2−8x+10​​

​2x2+8x+102x^2 + 8x + 102x2+8x+10​​

​2x2+8x−10 2x^2 + 8x - 102x2+8x−10​​

​2x2−8x−10 2x^2 - 8x - 102x2−8x−10​​

Correct option is A

Free Tests

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

CBT-1 Full Mock Test 1

RRB Group D Full Mock Test 1

Similar Questions

Access ‘RRB Group D’ Mock Tests with

Access ‘RRB Group D’ Mock Tests with

Similar Questions

Simplify the given expression.
$2(2x - 3) +4 \left(\frac{x^2}{2} - 3x + 4\right)$

$2x^2 - 8x + 10$

$2x^2 + 8x + 10$

$2x^2 + 8x - 10$

$2x^2 - 8x - 10$