Simplify 7x? (3x - 9) + 3 and find its values for x = 4 and x = 6 . gir coming
Answers
Answer:
Solve the equation 7x2(3x – 9) + 3 for x = 4 and x = 6
Solution:
⇒ 7x2(3x – 9) + 3
Find the solution for 7x2(3x – 9)
By using distributive law which states that;
a(b – c) = ab – ac
So according to the law
⇒ (7x2 × 3x) – (7x2 × 9)
⇒ 21x3 – 63x2
Therefore,
⇒ 7x2(3x – 9) + 3 = 21x3 – 63x2 + 3
Now we have to solve for the equation
21x3 – 63x2 + 3
Further,
For x = 4,
⇒ 21x3 – 63x2 + 3
⇒ 21 × 43 – 63 × 42 + 3
⇒ 1344 – 1008 + 3
⇒ 336 + 3
⇒ 339
Further,
Now for x = 6,
⇒ 21x3 – 63x2
⇒ 21 × 63 – 63 × 62 + 3
⇒ 2268 + 3
⇒ 2271
Therefore,
The algebraic expression ⇒ 7x2(3x – 9) + 3
For the value of x = 4 is 339
For the value of x = 6 is 2271
Sample Questions
Question 1. By applying suitable algebraic identity, Find 10502
Solution:
By applying the algebraic identity in the question: (a + b)² = a² + 2ab + b²
Thus,
1050 = 1000 + 50
Therefore,
10502 = (1000 + 50)2
Here,
a = 1000
b = 50
(1000 + 50)2 = (1000)² + 2 × 1000 × 50 + (50)²
Explanation:
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Answer:
x=4 = 55 ; x =6 = 125
Explanation:
7×2(3x-9)+3
14 (3(4)-9)+3
14(12-9)+3
14(3)+3
52+3 =55
7×2(3(6)-9)+3
14(18-9)+3
122+3
=125