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stira [4]
3 years ago
8

Can someone please help? I’m a little stuck here. Factor Differences Of squares.

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

29. 9p(2p+1)(2p-1)

31. 4k(2k+5)(2k-5)

Step-by-step explanation:

29. 9p(36p^3/9p-9p/9p)

9p(4p^2-1)

9p((2p)^2-1^2)

9p(2p+1)(2p-1)

31. 4k(16k^3/4k+-100k/4k)

4k(4k^2-25)

4k((2k)^2-5^2)

4k(2k+5)(2k-5)

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What is 4x + 6 = 2½x + 12 ? <br> A. x = 4<br> B. x = 6<br> C. x = 13<br> D. x = -6
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Let's solve your equation step-by-step.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span>
Step 1: Simplify both sides of the equation.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span><span>
Simplify:</span><span><span><span><span>
(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(<span>−1</span>)</span></span></span>=<span><span><span>(9)</span><span>(x)</span></span>+<span><span>(9)</span><span>(2)</span></span></span></span>(Distribute)<span><span><span><span>
6x</span>+</span>−6</span>=<span><span>9x</span>+18</span></span><span><span><span>
6x</span>−6</span>=<span><span>9x</span>+18</span></span>
Step 2: Subtract 9x from both sides.<span><span><span><span>
6x</span>−6</span>−<span>9x</span></span>=<span><span><span>9x</span>+18</span>−<span>9x</span></span></span><span><span><span>
−<span>3x</span></span>−6</span>=18</span>
Step 3: Add 6 to both sides.<span><span><span><span>
−<span>3x</span></span>−6</span>+6</span>=<span>18+6</span></span><span><span>
−<span>3x</span></span>=24</span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span>24<span>−3</span></span></span><span>
x=<span>−8</span></span><span>
Answer: x= -8

-Hope I helped.</span>
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