Question

$(x+y)^2-14z(x+y)+49z^2$(x+y)^2-14z(x+y)+49z^2

Answer 1

Answer:

(x+y)2-14z(x+y)+49z2

Final result :

x2 + 2xy - 14xz + y2 - 14yz + 49z2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((x + y)2) - (14z • (x + y))) + 72z2

Step 2 :

Equation at the end of step 2 :

(((x + y)2) - 14z • (x + y)) + 72z2

Step 3 :

Trying to factor by pulling out :

3.1 Factoring: x2+2xy-14xz+y2-14yz+49z2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 2xy+x2

Group 2: -14xz-14yz

Group 3: y2+49z2

Pull out from each group separately :

Group 1: (x+2y) • (x)

Group 2: (x+y) • (-14z)

Group 3: (y2+49z2) • (1)

Looking for common sub-expressions :

Group 1: (x+2y) • (x)

Group 3: (y2+49z2) • (1)

Group 2: (x+y) • (-14z)

Step-by-step explanation:

Final result :

x2 + 2xy - 14xz + y2 - 14yz + 49z2