Advertisements
Advertisements
प्रश्न
Simplify:
12x − [3x3 + 5x2 − {7x2 − (4 − 3x − x3) + 6x3} − 3x]
उत्तर
12x − [3x3 + 5x2 − {7x2 − (4 − 3x − x3) + 6x3} − 3x]
We will first remove the innermost grouping symbol ( ), followed by { } and then [ ].
∴ 12x − [3x3 + 5x2 − {7x2 − (4 − 3x − x3) + 6x3} − 3x]
= 12x − [3x3 + 5x2 − {7x2 − 4 + 3x + x3+ 6x3} − 3x]
= 12x − [3x3 + 5x2 − {7x2 − 4 + 3x + 7x3} − 3x]
= 12x − [3x3 + 5x2 − 7x2 + 4 − 3x − 7x3 − 3x]
= 12x − [ − 2x2 + 4 − 4x3 − 6x]
= 12x + 2x2 − 4 + 4x3 + 6x
= 4x3 + 2x2 +18x-4
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
x + 3 = 0 | x = 0 |
Write equation for the following statement:
If you take away 6 from 6 times y, you get 60.
Simplify:
−x + [5y − {x − (5y − 2x)}]
Write a statement for the equation, given below:
12y − 30 = 6
Solve the following equation and verify the answer:
3(2 − 5x) − 2(1 − 6x) = 1
Solve the following equation and verify the answer:
A wire of length 86 cm is bent in the form of a rectangle such that its length is 7 cm more than its breadth. Find the length and the breadth of the rectangle so formed.
The cost of 1 pen is Rs 16 and the cost of 1 pencil is Rs 5. What is the total cost of x pens and y pencils?
A shopkeeper sells mangoes in two types of boxes, one small and one large. A large box contains as many as 8 small boxes plus 4 loose mangoes. Set up an equation which gives the number of mangoes in each small box. The number of mangoes in a large box is given to be 100.
When a number is divided by 8, the result is –3. The number is ______.