Step-by-step explanation:
To simplify the given expression, let's break it down step by step:
10x + [x3 + 3x l2 − {2x2 − (7−2x−9x3−5x3)} − 3x2 + 7]
First, let's simplify the innermost parentheses:
= 10x + [x3 + 3x l2 − {2x2 − (7−11x−14x3)} − 3x2 + 7]
= 10x + [x3 + 3x l2 − {2x2 − (-11x−14x3+7)} − 3x2 + 7]
= 10x + [x3 + 3x l2 − {2x2 + 11x + 14x3 - 7} − 3x2 + 7]
= 10x + [x3 + 3xl2 - 2x2 - 11x - 14x3 + 7 - 3x2 + 7]
Next, let's combine like terms within the brackets:
= 10x + [(-14x3 + x3) + (-2x2 - 3x2) + (3xl2 - 11x) + (7 + 7)]
= 10x + [-13x3 - 5x2 - 8x + 14]
Finally, let's simplify the expression outside the brackets:
= 10x -13x3 - 5x2 - 8x + 14
Therefore, the simplified expression is:
-13x3 - 5x2 + 2x + 14.
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Verified answer
Step-by-step explanation:
To simplify the given expression, let's break it down step by step:
10x + [x3 + 3x l2 − {2x2 − (7−2x−9x3−5x3)} − 3x2 + 7]
First, let's simplify the innermost parentheses:
10x + [x3 + 3x l2 − {2x2 − (7−2x−9x3−5x3)} − 3x2 + 7]
= 10x + [x3 + 3x l2 − {2x2 − (7−11x−14x3)} − 3x2 + 7]
= 10x + [x3 + 3x l2 − {2x2 − (-11x−14x3+7)} − 3x2 + 7]
= 10x + [x3 + 3x l2 − {2x2 + 11x + 14x3 - 7} − 3x2 + 7]
= 10x + [x3 + 3xl2 - 2x2 - 11x - 14x3 + 7 - 3x2 + 7]
Next, let's combine like terms within the brackets:
= 10x + [(-14x3 + x3) + (-2x2 - 3x2) + (3xl2 - 11x) + (7 + 7)]
= 10x + [-13x3 - 5x2 - 8x + 14]
Finally, let's simplify the expression outside the brackets:
= 10x -13x3 - 5x2 - 8x + 14
Therefore, the simplified expression is:
-13x3 - 5x2 + 2x + 14.