Add the given polynomials-i x 3-2 x 2-9 - 5 x 3-2 x-9 ii -7 m 4-5 m 3-2 - 5 m 4-3 m 3-2 m 2-3 m-6iii 2 y 2-7 y -5 - 3 y -9 - 3 y 2-4 y -3

(i) x3 2x2 9+5x3+2x+9=x3+5x3 2x2+2x 9+9=6x3 2x2+2x (ii) 7m4+5m3+2+5m4 3m3+2m2+3m 6= 7m4+5m4+5m3 3m3+2m2+3m+2 6= 2m4+2m3+2m2+3m 6+2 (iii) 2y2+7y+5+3y+9+3y2 4y ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Addition and Subtraction of Algebraic Expressions

Add the given...

Question

Add the given polynomials.

(i) $x^{3} - 2 x^{2} - 9; 5 x^{3} + 2 x + 9$ (ii) $- 7 m^{4} + 5 m^{3} + \sqrt{2}; 5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6$ (iii) $2 y^{2} + 7 y + 5; 3 y + 9; 3 y^{2} - 4 y - 3$

Open in App

Solution

(i)
$(x^{3} - 2 x^{2} - 9) + (5 x^{3} + 2 x + 9) = x^{3} + 5 x^{3} - 2 x^{2} + 2 x - 9 + 9 = 6 x^{3} - 2 x^{2} + 2 x$
(ii)
$(- 7 m^{4} + 5 m^{3} + \sqrt{2}) + (5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6) = - 7 m^{4} + 5 m^{4} + 5 m^{3} - 3 m^{3} + 2 m^{2} + 3 m + \sqrt{2} - 6 = - 2 m^{4} + 2 m^{3} + 2 m^{2} + 3 m - 6 + \sqrt{2}$
(iii)
$(2 y^{2} + 7 y + 5) + (3 y + 9) + (3 y^{2} - 4 y - 3) = 2 y^{2} + 3 y^{2} + 7 y + 3 y - 4 y + 5 + 9 - 3 = 5 y^{2} + 6 y + 11$

Suggest Corrections

Similar questions

Q. Add

- 7 m^{4} + 5 m^{3} + \sqrt{2}; 5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6

Q. Add

2 y^{2} + 7 y + 5; 3 y + 9; 3 y^{2} - 4 y - 3

Multiply the following polynomials.

(i) (m³

-

2m + 3)(m⁴

-

2m²+ 3m + 2)

(ii) (5m³

-

2)(m²

-

m + 3)

Q. Add a given polynomial

2 y^{2} + 1 y + 5; 3 y + a; 3 y^{2} - 4 y - 3

Q. Add the given polynomials

- x^{3} - 2 x^{2} - 9, 5 x^{3} + 2 x + 9

Join BYJU'S Learning Program

Add the given polynomials. (i) x3 - 2x2 - 9 ; 5x3 + 2x + 9 (ii) - 7m4 + 5m3 + 2 ; 5m4 - 3m3 + 2m2 + 3m - 6 (iii) 2y2 + 7y + 5 ; 3y + 9 ; 3y2 - 4y - 3

(i) x3-2x2-9+5x3+2x+9=x3+5x3-2x2+2x-9+9=6x3-2x2+2x (ii) -7m4+5m3+2+5m4-3m3+2m2+3m-6=-7m4+5m4+5m3-3m3+2m2+3m+2-6=-2m4+2m3+2m2+3m-6+2 (iii) 2y2+7y+5+3y+9+3y2-4y-3=2y2+3y2+7y+3y-4y+5+9-3=5y2+6y+11

Add the given polynomials.

(i) $x^{3} - 2 x^{2} - 9; 5 x^{3} + 2 x + 9$ (ii) $- 7 m^{4} + 5 m^{3} + \sqrt{2}; 5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6$ (iii) $2 y^{2} + 7 y + 5; 3 y + 9; 3 y^{2} - 4 y - 3$