(e) 49(2x + y)2 - 64(x – 3y)2
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Try to factor this multi-variable trinomial using trial and error Found a factorization : (22x - 17y)•(6x + 31y)Final result : (22x - 17y) • (6x + 31y)
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Answer:
(22x−17y)⋅(6x+31y)
Step-by-step explanation:
49(2x+y)^2 -64(x-3y)^2
= {7(2x+y)}^2-{8(x-3y)}^2
= {7(2x+y)}-{8(x-3y)} {7(2x+y)}+{8(x-3y)}
= {(14x+7y)-(8x-24y)}{(14x+7y)+(8x-24y)}
= (14x-8x+7y+24y)(14x+8x+7y-24y)
= (6x+31y) (22x-17y)
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