Question

Factories the following equations.

(1) ab+bc+ax+cz
(2) x2+3x+x+3
(3) 6ab-b2+12ac-2bc
(4)a2+b-ab-a
(5)(2a+3b+4c)²
(6)(3a-5b-c)²

please answer this all.

Answer 1

1. Ab+ax+bc+cz
A(b+x)c(b+z)
(A+c)(b+x)

2 x2+3x+x+3
X(x+3)1(x+3)
(X+1)(x+3)

3. 6ab-b2+12ac-2bc
B(6a-b)2c(6a-b)
(B+2c)(6a-b)

4. A2-a +b-ab
A(a-1)b(a-1)
(A-b)(a-1)

Answer 2

Hii friend,

(a) AB+BC+AX+CX.

=> (AB+BC)+(AX+CX)

=> B(A+C) + X(A+C)

=> (A+C)(B+X)

(B) X²+3X+X+3

=> (X²+3X)+(X+3)

=> X(X+3)+(X+3)

=> (X+3)(X+1)

(C) = 6AB-B²+12AC-2BC

=> 6AB+12BC-B²-2BC

=> 6A(B+2C) -B(B+2C)

=> (B+2C) (6A-B)

(D) A²+B-AB-A

=> A²-A-AB+B

=> (A²-A)-(AB-B)

=> A(A-1) -B(A-1)

=> (A-1)(A-B)

(E) (2A+3B+4C)²

=> (2A)² + (3B)² + (4C)² + 2 × (2A) × (3B) + 2 × (3B) × (4C) + 2 × (4C) × (2A)

=> 4A²+9B²+16C²+12AB+24BC+16CA.

(F) (3A-5B-C)²

=> { 3A + (-5B) + (-C)}²

=> (3A)² + (-5B)² + (-C)² + 2 × 3A × -5B + 2 × (-5B) × (-C) + 2 × (-C) × (3A)

=> 9A²+25B²+C²-30AB +10BC -6CA.


HOPE IT WILL HELP YOU...... :-)