已知,8X²Y的m次方与-X的n次方+4Y³/9次方是同类项.求0.5MN-4M²N+5N²M-NM²-MN/2+MN²的值,
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![已知,8X²Y的m次方与-X的n次方+4Y³/9次方是同类项.求0.5MN-4M²N+5N²M-NM²-MN/2+MN²的值,](/uploads/image/z/1628695-55-5.jpg?t=%E5%B7%B2%E7%9F%A5%2C8X%26%23178%3BY%E7%9A%84m%E6%AC%A1%E6%96%B9%E4%B8%8E-X%E7%9A%84n%E6%AC%A1%E6%96%B9%2B4Y%26%23179%3B%2F9%E6%AC%A1%E6%96%B9%E6%98%AF%E5%90%8C%E7%B1%BB%E9%A1%B9.%E6%B1%820.5MN-4M%26%23178%3BN%2B5N%26%23178%3BM-NM%26%23178%3B-MN%2F2%2BMN%26%23178%3B%E7%9A%84%E5%80%BC%2C)
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已知,8X²Y的m次方与-X的n次方+4Y³/9次方是同类项.求0.5MN-4M²N+5N²M-NM²-MN/2+MN²的值,
已知,8X²Y的m次方与-X的n次方+4Y³/9次方是同类项.
求0.5MN-4M²N+5N²M-NM²-MN/2+MN²的值,
已知,8X²Y的m次方与-X的n次方+4Y³/9次方是同类项.求0.5MN-4M²N+5N²M-NM²-MN/2+MN²的值,
1所含字母相同,并且相同字母的次数也分别相同的项叫做同类项.(所有常数项都是同类项.)
2同类项与字母前的系数大小、顺序无关
3合并同类项的法则是:同类项的系数相加,所得的结果作为系数,字母与字母的指数不变.
要使8X² + Y^m 与 -X^n + (4/9)Y³ 是同类项,
必须有:n = 2 且 m = 3;
此时:0.5mn-4m²n+5n²m-nm²-mn/2+mn²=-5 m²n+6n²m=mn(-5m+6n)=6(-10+18)=6x8=48
8X² + Y^m 与 -X^n + (4/9)Y³ 是同类项,
则:n = 2 且 m = 3,
所以:
0.5MN - 4M²N + 5N²M - NM² - MN/2 + MN²
= NM * (0.5 - 4M + 5N - M - 0.5 + N)
= NM * (6N - 5M)
= 2 * 3 * (6 * 2 - 5 * 3)
= 6 * (-3)
= -18