(3x +2y)² - (z-a-2b)^2
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Answer:
Step-by-step explanation:
[tex](a+b)^{2} =a^{2} +b^{^2}+2ab\\(3x+2y)^{2}=(3x)^{2} +(2y)^{2}+2(3x)(2y)\\9x^{2}+4y^{2}+12xy\\(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2ab+2bc+2ac\\(z-a-2b)^{2}=z^{2}+(-a)^{2}+(-2b)^{2}+2(z)(-a)+2(-a)(-2b)+2(z)(-2b)\\=z^{2}-a^{2}-4b^{2}-2az+4ab-4bz\\\\(9x^{2}+4y^{2}+12xy)-(z^{2}-a^{2}-4b^{2}-2az+4ab-4bz)\\[/tex]
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