Math, asked by Harsin, 4 months ago

13.Simplify 7x²(3x – 9) + 3x²and find its values for x = 4.​

Answers

Answered by soumya9456
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 Ladylaurel
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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