Add: [2 MARKS] (i) 3x3−5x2+8x+10, 15x3−6x−23 and 9x2ȡ

Question

Add: [2 MARKS]
(i)

3 x^{3} - 5 x^{2} + 8 x + 10

15 x^{3} - 6 x - 23

and

9 x^{2} - 4 x + 15

(ii)

3 a b^{2} - 2 b^{2} + a^{2}

5 a^{2} b - 2 a b^{2} - 3 a^{2}

and

8 a^{2} - 5 b^{2}

Answer:
:
Each Point: 1 Mark
(i)

(3 x^{3} - 5 x^{2} - + 8 x + 10) + (15 x^{3} - 6 x - 23) + (9 x^{2} - 4 x + 15)

= 3 x^{3} - 5 x^{2} + 8 x + 10 + 15 x^{3} - 6 x - 23 + 9 x^{2} - 4 x + 15

Bringing like terms together, we get,

= 3 x^{3} + 15 x^{3} - 5 x^{2} + 9 x^{2} + 8 x - 6 x - 4 x + 10 - 23 + 15

= 18 x^{3} + 4 x^{2} - 2 x + 2

(ii)

(3 a b^{2} - 2 b^{2} + a^{2}) + (5 a^{2} b - 2 a b^{2} - 3 a^{2}) + (8 a^{2} - 5 b^{2})

= 3 a b^{2} - 2 b^{2} + a^{2} + 5 a^{2} b - 2 a b^{2} - 3 a^{2} + 8 a^{2} - 5 b^{2}

Bringing like terms together, we get,

= 3 a b^{2} - 2 a b^{2} - 2 b^{2} - 5 b^{2} + a^{2} - 3 a^{2} + 8 a^{2} + 5 a^{2} b

= 5 a^{2} b + a b^{2} + 6 a^{2} - 7 b^{2}

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. Value of 2xy when x=4 and y=0 is _________. ....

Question 2. A number when multiplied by 2 and decreased by 41 gives 3. Find the number. ....

Question 3. The coefficient of term xy2 in expression 4xy2+x3−x5+2xy2 is ______. ....

Question 4. Identify the binomial(s) among the given expressions. ....

Question 5. The variable in the expression (9x+32)÷9 is ___. ....

Question 6. When 5 is added to a number, we get 15. How do we represent this in the form of an equation in variable x ? ....

Question 7. Which of the following is a variable? ....

Question 8. If the sum of successor and predecessor of a number is 14, then the number should be _____. ....

Question 9. If 2x+10=8x, then the value of x is ....

Question 10. Solve for x:x−23=2x7 ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0