-5ab + 7ab -9ab + ab -2ab ... Let's simplify that a bit:
ab(-5+7-9+1-2) = -8ab
35ab squared
7b
To simplify the expression 12ab + 9ab - 7ab, you first combine like terms. The coefficients of the like terms are added or subtracted, while the variables remain the same. In this case, you add the coefficients of the like terms: 12 + 9 - 7 = 14. So, the simplified expression is 14ab.
21a2b2 square cm
Every digit is a power of 16 in hexadecimal, so we have (in decimal): Keep in mind A = 10, B = 11, ... F = 15. 7AB16 = 7 * 162 + 10 * 16 + 11 = 1792 + 160 + 11 = 1963. To convert to binary, we look at powers of 2. Since the largest power of two that can be subtracted from 1963 is 1024, we know that we must go from 210 to 20. Thus we subtract the highest power of 2 that can be subtracted each time. In the brackets is the power of 2 that was subtracted. 1963 - 1024 = 939 (210) 939 - 512 = 427 (29) 427 - 256 = 171 (28) 171 - 128 = 43 (27) 43 - 32 = 11 (25) 11 - 8 = 3 (23) 3 - 2 = 1 (21) 1 - 1 = 0 (20) When you've done this, list all of the powers from 10 to 0 and put a 1 if you did subtract that number. 10 9 8 7 6 5 4 3 2 1 0 Power of 2 ..1 1 1 1 0 1 0 1 0 1 1 Was the number subtracted? (ignore the dots, they're used to pad) Thus the number in binary is 11110101011.
7ab-5ab = 2
-2ab
35ab
Assuming that non-leading numbers are exponents, the expression becomes12a^2b + 8a - 5a^2b + 2ab - 4ab^2 + 6ab - 2a - 3ab= 7a^2b + 6a + 5ab - 4ab^2= a*(7ab + 6 + 5b - 4b^2)
35ab squared
To find the least common multiple (LCM) of 5ab and 7ab squared, we need to consider the highest power of each prime factor in both numbers. The prime factors in 5ab are 5, a, and b, while the prime factors in 7ab squared are 7, a, and b squared. The LCM will be the product of the highest power of each prime factor, which gives us 35ab squared.
(2a + b)(a + 3b)
7ab itself
The LCM is 280a4b2.
7b
1ab
To simplify the expression 12ab + 9ab - 7ab, you first combine like terms. The coefficients of the like terms are added or subtracted, while the variables remain the same. In this case, you add the coefficients of the like terms: 12 + 9 - 7 = 14. So, the simplified expression is 14ab.