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Alexus [3.1K]
4 years ago
7

WHAT IS A SIMPLER FORM OF THE PRODUCT (3x - 7y^4)^2

Mathematics
2 answers:
Reptile [31]4 years ago
8 0
Answer:
9x² - 42xy⁴ + 49y⁸

Explanation:
The general rule in expanding a power 2 bracket is as follows:
(a-b)² = a² - 2ab + b²

Also note that:
(a^m)^n = a^(m*n)

Now, let's apply this to the given:
(3x - 7y⁴)²
(3x)² - 2(3x)(7y⁴) + (7y⁴)²
9x² - 42xy⁴ + 49y⁸

Hope this helps :)
Neko [114]4 years ago
3 0
<span><span>(<span><span>3x</span>+<span>−<span>7<span>y4</span></span></span></span>)</span><span>(<span><span>3x</span>+<span>−<span>7<span>y4</span></span></span></span>)</span></span><span>=<span><span><span><span><span>(<span>3x</span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>3x</span>)</span><span>(<span>−<span>7<span>y4</span></span></span>)</span></span></span>+<span><span>(<span>−<span>7<span>y4</span></span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>7<span>y4</span></span></span>)</span><span>(<span>−<span>7<span>y4</span></span></span>)</span></span></span></span><span>=<span><span><span><span>9<span>x2</span></span>−<span><span>21x</span><span>y4</span></span></span>−<span><span>21x</span><span>y4</span></span></span>+<span>49<span>y8</span></span></span></span><span>=<span><span><span>49<span>y8</span></span>−<span><span>42x</span><span>y4</span></span></span>+<span>9<span>x</span></span></span></span>
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