(b) 50(2x + y)2 - 18(x – 2y)2
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Answered by
1
Step-by-step explanation:
STEP1:Equation at the end of step 1
(50 • ((2x + y)2)) - 18 • (x - 2y)2
STEP2:Equation at the end of step 2
50 • (2x + y)2 - 18 • (x - 2y)2
STEP3:
3.1 Evaluate : (2x+y)2 = 4x2+4xy+y2
3.2 Evaluate : (x-2y)2 = x2-4xy+4y2
STEP4:Pulling out like terms
4.1 Pull out like factors :
182x2 + 272xy - 22y2 = 2 • (91x2 + 136xy - 11y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 91x2 + 136xy - 11y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (13x - y)•(7x + 11y)
Final result :
2 • (13x - y) • (7x + 11y)
Answered by
0
Step-by-step explanation:
50(2x+y)2-18(x-2y)2
=100(2x+y)-36(x-2y)
=200x+100y-36x+72y
=164x+172y
=4(41x+43y)
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