Add the following expressions-i- 8a-6ab-5b- -160-6a-ab-8b -160-and -160-4a-2ab-3b-ii- 5x3-7-6x-5x2- -160-2x2-8-9x- -160-4x-2x2-3x3- -160-3x3-9x-x2 -160-and -160-x-x2-x3-4

(i) Required expression = (8a 6ab + 5b) + ( 6a ab 8b) + ( 4a + 2ab + 3b) nbsp; nbsp; nbsp; nbsp; Collecting positive and negative like terms to ...

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Byju's Answer

Standard VII

Mathematics

Number Properties (Language)

Add the follo...

Question

Add the following expressions:
(i) $8 a - 6 a b + 5 b, - 6 a - a b - 8 b and - 4 a + 2 a b + 3 b$
(ii) $5 x^{3} + 7 + 6 x - 5 x^{2}, 2 x^{2} - 8 - 9 x, 4 x - 2 x^{2} + 3 x^{3}, 3 x^{3} - 9 x - x^{2} and x - x^{2} - x^{3} - 4$

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Solution

(i) Required expression = (8a - 6ab + 5b) + (- 6a - ab - 8b) + ( - 4a + 2ab + 3b)
Collecting positive and negative like terms together, we get
8a - 6a - 4a - 6ab - ab + 2ab + 5b - 8b + 3b
= 8a - 10a - 7ab + 2ab + 8b - 8b
= - 2a - 5ab

(ii) Required expression = (5x³ + 7 + 6x - 5x²) + (2x²- 8 - 9x) + (4x - 2x² + 3x³) + (3x³- 9x - x²) + ( x - x² - x³- 4)
Collecting positive and negative like terms together, we get
5x³+ 3x³ + 3x³- x³- 5x² + 2x² - 2x² - x²- x² + 6x - 9x + 4x - 9x + x + 7 - 8 - 4
= 11x³ - x³ - 7x² + 11x - 18x + 7 - 12
= 10x³ - 7x² - 7x - 5

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Similar questions

Q. Add

8 a - 6 a b + 5 b, - 6 a - a b - 8 b, - 4 a + 2 a b

Q. Subtract

6 x^{3} - 5 x^{2} + 4 x - 2

from the sum of

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

and

2 - x^{2} + 6 x - x^{3}

Q. Evaluate the following:

\begin{matrix} {lim}_{x \to 1} \frac{x^{2} - 3 x + 2}{x^{2} - 4 x + 3} {lim}_{x \to 2} \frac{x^{3} + x^{2} - 12}{x^{3} - x^{2} - x - 2} {lim}_{x \to \sqrt{2}} \frac{x^{2} + x \sqrt{2} - 4}{x^{2} - 3 x \sqrt{2} + 4} {lim}_{x \to 3} \frac{x^{3} - 3 x^{2} - x + 3}{x^{3} - 6 x^{2} + 9 x} \end{matrix}

Using the remainder Theorem, factorise each of the following completely:
(i) $3 x^{3} + 2 x^{2} - 19 x + 6$
(ii) $2 x^{3} + x^{2} - 13 x + 6$
(iii) $3 x^{3} + 2 x^{2} - 23 x - 30$
(iv) $4 x^{3} + 7 x^{2} - 36 x - 63$
(v) $x^{3} + x^{2} - 4 x - 4.$

Q. What must be subtracted from

2 x^{3} - 4 x^{2} + 6 x - 2

to get

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

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Add the following expressions: (i) 8a-6ab+5b, -6a-ab-8b and -4a+2ab+3b (ii) 5x3+7+6x-5x2, 2x2-8-9x, 4x-2x2+3x3, 3x3-9x-x2 and x-x2-x3-4

Add the following expressions:
(i) $8 a - 6 a b + 5 b, - 6 a - a b - 8 b and - 4 a + 2 a b + 3 b$
(ii) $5 x^{3} + 7 + 6 x - 5 x^{2}, 2 x^{2} - 8 - 9 x, 4 x - 2 x^{2} + 3 x^{3}, 3 x^{3} - 9 x - x^{2} and x - x^{2} - x^{3} - 4$