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6. simplify. 42x + 5x² - 3x² + 3(7x + 12) - 10

Question

  1. simplify.

42x + 5x² - 3x² + 3(7x + 12) - 10

Explanation:

Step1: Expand the parentheses

$3(7x + 12) = 21x + 36$

Step2: Rewrite the full expression

$42x + 5x^2 - 3x^2 + 21x + 36 - 10$

Step3: Combine like $x^2$ terms

$5x^2 - 3x^2 = 2x^2$

Step4: Combine like $x$ terms

$42x + 21x = 63x$

Step5: Combine constant terms

$36 - 10 = 26$

Step6: Combine all simplified terms

$2x^2 + 63x + 26$

Answer:

$2x^2 + 63x + 26$