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Rashid [163]
3 years ago
10

Someone please simplify these​

Mathematics
1 answer:
Setler [38]3 years ago
4 0

1. 3x + 12x - 3y

15x - 3y

2. 14x + 3(y+5) - 2y

14x + 3y + 15 - 2y

14x y + 15

3. 2x² + x + 3x - 5

2x² + 4x - 5

4. 4y² + 7 - 3y² + 25

y² + 32

5. 2x(3+x) - 6x

6x + 2x² - 6x

2x²

6. y + 13 - 9

y + 4

7. 8(x-4)

8x - 32

8. 4y² + 7y + 8y²

12y² + 7y

9. 26 + x(3+4x)

26 + 3x + 4x²

4x² + 3x + 26

10. 10y + 8x + 98 - 70 + 16y

26y + 8x + 28

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Simplify and verify the results for
KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

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Answer:

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