Math Problem Statement

if x=6, what os -4(x^2+5)

Solution

We will substitute x=6x = 6 into the expression 4(x2+5)-4(x^2 + 5) and simplify step by step:

  1. x2=62=36x^2 = 6^2 = 36
  2. Substituting x2x^2 into the expression: 4(36+5)-4(36 + 5)
  3. Simplify inside the parentheses: 4(41)-4(41)
  4. Multiply: 4×41=164-4 \times 41 = -164

Final Answer:

164-164

Would you like a detailed breakdown or have any questions?

Here are five related questions for practice:

  1. If x=3x = 3, what is 4(x2+7)-4(x^2 + 7)?
  2. Simplify 5(x2+2x+1)-5(x^2 + 2x + 1) for x=2x = -2.
  3. Evaluate 3(x2+6x+9)-3(x^2 + 6x + 9) when x=4x = 4.
  4. Find 4(2x2+5x+3)-4(2x^2 + 5x + 3) for x=1x = 1.
  5. What is the value of 2(x24x+4)-2(x^2 - 4x + 4) when x=5x = 5?

Tip:

Always simplify the expression inside parentheses first before applying multiplication or other operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Simplification

Formulas

Expression evaluation: -4(x^2 + c)
Basic exponentiation: x^2

Theorems

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Suitable Grade Level

Grades 6-8