Solve a Math Problem for Me

Introduction to solve math problems:

The needs of Science and Technology, Social Sciences, Humanities and Computers posed new and challenging problems. Such problems could be effectively studied for analytical and exact solution only with the help of Mathematics. Mathematics interacted well with all other branches of Science and Social Sciences and new fields such as Operations Research, Industrial Mathematics, Mathematics of Computation, Mathematical Statistics, Mathematical Physics, Mathematical Biology, Mathematical Modeling, Cryptology, and Mathematical Economics etc... In this article we shall solve some math problems.


Solve math example problems


Problem:

Solve factorizing 4x2 + 20xy + 25y2 – 10x – 25y.

Solution:

The given expression is 4x2 + 20xy + 25y2 – 10x – 25y

= (2x)2 + 2(2x)(5y) + (5y)2 – 5(2x) – 5(5y)

= [(2x) + (5y)]2 – 5[(2x) + (5y)]

= (2x + 5y)2 – 5(2x + 5y)

= (2x + 5y) (2x + 5y –5).

Problem:

Factorize 6(a – 1)2b – 5(a –1)b2 – 6b3

Solution: Putting x = a – 1, we get

6(a – 1)2b – 5(a–1)b2 – 6b3 = 6x2b – 5xb2 – 6b3

= b(6x2 – 5bx –6b2)

Here we find 6 × – 6 = –36 = (–9) × 4 and (–9) + 4 = –5.

Hence we get = b(6x2 – 9bx + 4bx – 6b2)

= b[3x(2x – 3b) + 2b(2x – 3b)]

= b(2x – 3b) (3x + 2b)

= b[2(a – 1) – 3b] [3(a – 1) + 2b]

= b[(2a –3b –2) (3a + 2b –3)].

Problem:

Solve If x1 and x2 are two events related with a random experiment such that P(a2)=0.35, P(x1 or x2)= 0.95 and P(x1 and x2)=0.25, Find out  P(x1).

Solution:

Consider P (x1) = x then,

P (x1 or x2) =P (x) + P (x2) – P (x1 and x2)

= 0.95 = z + 0.35 – 0.25

Sum the experiment value

z= (0.95-0.35 + 0.25) = 0.85

Hence P (x1) = 0.85.

 


Solve math practice problem


Problem:

If a1 and a2 are two events related with a random experiment such that P(a2)=0.45, P(a1 or a2)= 0.75 and P(a1 and a2)=0.25, Calculate P(a1).

Answer:

0.55

Problem:

Solve factorization 8a2 + 2a – 3.

Answer:

(4a + 3) (2a – 1)