13.Simplify 7x²(3x – 9) + 3x²and find its values for x = 4.
Answers
Answered by
2
Answer:
7x^2(3x-9)+3x^2
=7(4)^2(3.4-9)+ 3(4)^2
=112×3+48
=384
Hope it's helpful to you
Answered by
1
Answer :-
- The required number is 384.
Step-by-step explanation:
To Find :-
- Simplify 7x²(3x-9)+3x²
Solution:
Given equation: 7x²(3x-9)+3x² and x=4.
⇒ 7x² ( 3x - 9 ) + 3x²
⇒ 7x² ( 3*4 - 9 ) + 3x²
⇒ 7x² ( 12 - 9 ) + 3x²
⇒ 7x² ( 3 ) + 3x²
⇒ 7( 4 )² × 3 + 3x²
⇒ 7*16 × 3 + 3x²
⇒ 112 × 3 + 3x²
⇒ 336 + 3x²
⇒ 336 + 3( 4 )²
⇒ 336 + 3*16
⇒ 336 + 48
⇒ 384
Hence, The required number is 384.
Now, Verification
- 7x² ( 3x - 9 ) + 3x² = 384; x = 4
We have,
- L.H.S = 7x² ( 3x - 9 ) + 3x²
- R.H.S = 384
By putting the value of x in L.H.S :-
⇒ 7x² ( 3x - 9 ) + 3x²
⇒ 7x² ( 3*4 - 9 ) + 3x²
⇒ 7x² ( 12 - 9 ) + 3x²
⇒ 7x² ( 3 ) + 3x²
⇒ 7x² × 3 + 3x²
⇒ 7x² × 3 + 3( 4 )²
⇒ 7x² × 3 + 3*16
⇒ 7x² × 3 + 48
⇒ 7( 4 )² × 3 + 48
⇒ 7*16 × 3 + 48
⇒ 112 × 3 + 48
⇒ 336 + 48
⇒ 384
So, now,
- L.H.S = 384
- R.H.S = 384
∴ L.H.S = R.H.S
Hence, Verified!
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