Simplify the following: (i) (1.5x−4y)(1.5x+4y+3) (ii) (x+y)(2

Question

Simplify the following:

(i) (1.5 x - 4 y) (1.5 x + 4 y + 3)

(i i) (x + y) (2 x + y) + (x + 2 y) (x - y)

(i i i) (a^{2} + 5) (b^{3} + 3) + 5

[3 MARKS]

Answer:
:
Application: 1Mark each

(i) (1.5 x - 4 y) (1.5 x + 4 y + 3)

2.25 x^{2} + 6 x y + 4.5 x - 6 x y - 16 y^{2} - 12 y

\Rightarrow 2.25 x^{2} - 16 y^{2} + 4.5 x - 12 y

(i i) (x + y) (2 x + y) + (x + 2 y) (x - y)

(2 x^{2} + x y + 2 x y + y^{2}) + (x^{2} + x y - 2 y^{2})

3 x^{2} + 4 x y - y^{2}

(i i i) (a^{2} + 5) (b^{3} + 3) + 5

a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5

\Rightarrow a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. Using the identities of algebraic expressions , find (i) 1002×1003 (ii) 97×103. ....Using the identities of algebraic expressions , find (i) 1002×1003 (ii) 97×103. [2 MARKS]

Question 2. Classify the following polynomials as monomials, binomials, trinomials. (i) 4x2 (ii) 5xy2+6xyz (iii)&....Classify the following polynomials as monomials, binomials, trinomials. (i) 4x2 (ii) 5xy2+6xyz (iii) 5xyz (iv) a+b+c (v) 5x2+6x+25 (vi) x+y [4 MARKS]

Question 3. Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest....increased by 5 units and time by 10 units. [3 MARKS]

Question 4. Sandeep wants to buy 5 chocolates of Rs 10 each. He has to pay Rs 20 for parking also. If the price of chocolate is incr....arithmatic expression of the money spent by Sandeep. [2 MARKS]

Question 5. 5x×(−4yz)×3xz = ___....

Question 6. Simplify: (xy+yz)2−(xy−yz)2 ....

Question 7. Find the sum of (11x2−8x+4) and (6x2+7x−10).....

Question 8. What must be subtracted from (4x3−3x+5) to get (2x2−3x3+5x−2) ?....

Question 9. When 7xy+5yz−3zx, 4yz+9zx−4y and −3xz+5x−2xy are added, we get ___.....

Question 10. The numerical factor of a term is known as....

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

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0