Advertisements
Advertisements
Question
Simplify:
−3(a + b) + 4(2a − 3b) − (2a − b)
Solution
−3(a + b) + 4(2a − 3b) − (2a − b)
Here, '−' sign precedes the first and the third parenthesis. So, we will remove them and change the sign of each term within the two parenthesis.
= −3a − 3b + (4 × 2a )−(4 × 3b) − 2a + b
= − 3a − 3b + 8a − 12b − 2a + b
Rearranging and collecting the like terms:
−3a + 8a − 2a − 3b − 12b + b
= (−3 + 8 − 2)a + (−3 − 12 + 1)b
= 3a −14b
APPEARS IN
RELATED QUESTIONS
Write equation for the following statement:
The number b divided by 5 gives 6.
Write the given equation in statement form:
m − 7 = 3
Different mathematical operations are given in the two rows below. Find out the number you get in each operation and make equations.
16 ÷ 2; 5 × 2; 9 + 4; 72 ÷ 3; 4 + 5; 8 × 3; 19 - 10; 10 - 2; 37 - 27; 6 + 7
Solve the following equation and verify the answer:
x + 3 = −2
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.
`1/3(x+7+z)` is a
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.
In triangle ABC, the measure of ∠B is two-third of the measure of ∠A. The measure of ∠C is 20° more than the measure of ∠A. Find the measures of the three angles.
331 students went on a field trip. Six buses were filled to capacity and 7 students had to travel in a van. How many students were there in each bus?
A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.