Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?
2 answers:
Answer:
a²b(7 + 10b +14b²)
Step-by-step explanation:
To find out equivalent expression we need to factor the given expression
To factor it first we find out GCF(greatest common factor)
7 a^2b -------> 7*a*a*b
10a^2b^2 ----->5*2 * a*a*b*b
14a^2b^3 -------> 7*2 *a*a*b*b*b
To get GCF we look at the factors that are in common
GCF = a*a*b that is a^2b
We factor out GCF a^2b, write a^2b outside and divide all the terms by a^2b
7+10b+14b^2 cannot be factor . its prime
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In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
thus
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
thus
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10