Are the sum of 2 prime numbers prime or composite?

Mathematics
Are the sum of 2 prime numbers prime or composite?

ScanSolve AI Answer

1.

2x+3yx+2y2x + 3y - x + 2y

Group like terms:
(2xx)+(3y+2y)(2x - x) + (3y + 2y)

Combine xx terms:
2xx=1x=x2x - x = 1x = x

Combine yy terms:
3y+2y=5y3y + 2y = 5y

Simplified expression:
x+5yx + 5y

x+5y\boxed{x + 5y}

2.

4a3b+2ab4a - 3b + 2a - b

Group like terms:
(4a+2a)+(3bb)(4a + 2a) + (-3b - b)

Combine aa terms:
4a+2a=6a4a + 2a = 6a

Combine bb terms:
3bb=4b-3b - b = -4b

Simplified expression:
6a4b6a - 4b

6a4b\boxed{6a - 4b}

3.

5p+2q3p+q5p + 2q - 3p + q

Group like terms:
(5p3p)+(2q+q)(5p - 3p) + (2q + q)

Combine pp terms:
5p3p=2p5p - 3p = 2p

Combine qq terms:
2q+q=3q2q + q = 3q

Simplified expression:
2p+3q2p + 3q

2p+3q\boxed{2p + 3q}

4.

3m+2nmn3m + 2n - m - n

Group like terms:
(3mm)+(2nn)(3m - m) + (2n - n)

Combine mm terms:
3mm=2m3m - m = 2m

Combine nn terms:
2nn=1n=n2n - n = 1n = n

Simplified expression:
2m+n2m + n

2m+n\boxed{2m + n}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question