answer all of the sums please.
Answers
(1) ( A -B - B + C ) ( A - B + B -C )
( A - 2B + C) ( A - C)
(2)64 - 25x2 + 60xy - 36y2
= (8)2 - [25x2 - 60xy + 36y2]
= (8)2 - [(5x)2 - 2(5x)(6y) + (6y)2]
= (8)2 - (5x - 6y)2
= [8 - (5x - 6y)] [8 + (5x - 6y)]
= (8 - 5x + 6y) (8 + 5x - 6y)
(3) (x^2)^2 - (1)^2
( X^2 - 1 )(X^2 + 1 )
(X- 1)(X+1)(X ^2 + 1 )
(4) ( X - 2Y - 2X - Y ) (X-2Y+2X+Y )
( - X - 3Y)(3X - Y )
(5)Equation at the end of step 1 :
(36 • (x2)) - 49 • (y - x)2
Step 2 :
Equation at the end of step 2 :
(22•32x2) - 49 • (y - x)2
Step 3 :
3.1 Evaluate : (y-x)2 = y2-2xy+x2
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-13x2 + 98xy - 49y2 = -1 • (13x2 - 98xy + 49y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 13x2 - 98xy + 49y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (x - 7y)•(13x - 7y)
Final result :
(7y - x) • (13x - 7y)
(6) (P + Q - 81 )(P + Q + 81)
(7) [(2P)^2-2*2P*3Q+(3Q)^2]-8^2
(2P-3Q)^2-8^2
(2P-3Q+8)(2P-3Q-8)
(8) ( 4B - 3C -3B - 2C ) ( 4B - 3C + 3B + 2C)
( B - 5C)(7b - C )