Question
Simplify:
$(3 x+4)(2 x-3)+(5 x-4)(x+2)$
$(3 x+4)(2 x-3)+(5 x-4)(x+2)$
✓
Answer
$(3 x+4)(2 x-3)$
$=3 x(2 x-3)+4(2 x-3)$
$=6 x^{(1+1)}-9 x+8 x-12$
$=6 x^2-x-12$
$(5 x-4)(x+2)$
$=5 x(x+2)-4(x+2)$
$=5 x^{(1+1)}+10 x-4 x-8$
$=5 x^2+6 x-8$
$\therefore(3 x+4)(2 x-3)+(5 x-4)(x+2)$
$=6 x^2-x-12+5 x^2+6 x-8$
$=11 x^2+5 x-20$
$=3 x(2 x-3)+4(2 x-3)$
$=6 x^{(1+1)}-9 x+8 x-12$
$=6 x^2-x-12$
$(5 x-4)(x+2)$
$=5 x(x+2)-4(x+2)$
$=5 x^{(1+1)}+10 x-4 x-8$
$=5 x^2+6 x-8$
$\therefore(3 x+4)(2 x-3)+(5 x-4)(x+2)$
$=6 x^2-x-12+5 x^2+6 x-8$
$=11 x^2+5 x-20$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In each of the given figures, two lines/ and m are cut by a transevrsal t. Find whether $\text{l || m}.$
→The value of car decreases annually by 20%. If the present value of the car be Rs. 450000, what will be its value after two years?
The length of a rectangular field is twice its breadth. If the perimeter of the field is 150 metres, find its length and breadth.
In each of the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State each result in symbolic form.
The percentage of marks obtained by students of a class in mathematics are:
64, 36, 47, 23, 0, 19, 81, 93, 72, 35, 3, 1. Find their mean.
64, 36, 47, 23, 0, 19, 81, 93, 72, 35, 3, 1. Find their mean.
The length of one sides of a right triangle is 4.5cm and the length of its hypotenuse is 7.5cm. Find the length of its third side.
O is a point in the exterior of △ABC. What symbol ‘>’, ’<’ or ‘=’ will you see to complete the statement OA + OB…. AB? Write two other similar statements and show that.
$\text{OA}+\text{OB}+\text{OC}>\frac{1}{2}(\text{AB}+\text{BC}+\text{CA})$
→$\text{OA}+\text{OB}+\text{OC}>\frac{1}{2}(\text{AB}+\text{BC}+\text{CA})$
Find the area of the triangle in which
a = 91m, b = 98m, c = 105m.
a = 91m, b = 98m, c = 105m.
Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?
A wire is looped in the form of a circle of radius 35cm. If it is rebent in the form of a square, what will be the length of each side of the square?