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use algebra tiles to find $(-4x + 6) + (6x^{2} + 10x - 7)$. combine lik…

Question

use algebra tiles to find $(-4x + 6) + (6x^{2} + 10x - 7)$. combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Identify like terms

Group $x^2$, $x$, and constant terms:

  • $x^2$ terms: $6x^2$
  • $x$ terms: $-4x + 10x$
  • Constants: $6 - 7$

Step2: Combine $x$ terms

Calculate sum of linear terms:
$(-4 + 10)x = 6x$

Step3: Combine constant terms

Calculate sum of constants:
$6 - 7 = -1$

Step4: Assemble simplified expression

Combine all simplified terms:
$6x^2 + 6x - 1$

Answer:

$6x^2 + 6x - 1$