Mathematical factorization of the eighth grade in the next semester

1. Decomposition factor in the real number range: x 4-4 = (x 2+2) (x+√ 2) (x-√ 2).

2. If the polynomial x 2-2 (m- 1) x+64 is completely flat, then the value of m is (9 or -7).

3. Carefully observe the equation (x+p) (x+q) = x 2+(p+q) x+pq. If one factor of the polynomial x 2-5x+6 is (x-3) and the other factor is (x-2).

4. factorize the polynomial x 2-x+y-y 2, and the result is (x+y- 1)(x-y).

5. Decomposition factor 3ab (7c-28d)+5ad (c-4d)-2ac (12d-3c)

3ab(7c-28d)+5ad(c-4d)-2ac( 12d-3c)

= 2 1ab(c-4d)+5ad(c-4d)+6ac(c-4d)

=(c-4d)(2 1ab+5ad+6ac)

=a(c-4d)(2 1b+5d+6c)

6. Factorize to solve the equation: 1/2x 2++ 1/2 = 0.

Why are there two "+"signs?