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3 years ago

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(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)

2 answers:

Alex17521 [72]3 years ago

8 0

Let's simplify step-by-step.<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>−<span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span>
Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>

ANEK [815]3 years ago

5 0

Answer:

-6x^2+10x+7

Step-by-step explanation:

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