Question

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a) (x-2y)^3

b) (x-2y+1)^2

Answer 1

$</p><p> </p><p> <div style="</p><p> padding:50px 5px;</p><p> text-align: center;</p><p> font-family:Monoscape;</p><p> background-image: linear-gradient(45deg , rgba(255,255,255,.7 ) 50%, transparent 50%), radial-gradient(circle at center center, rgba(108, 78, 11,0.1) 0%, rgba(108, 78, 11,0.1) 58%,transparent 58%, transparent 81%,rgba(144, 96, 58,0.1) 81%, rgba(144, 96, 58,0.1) 100%),linear-gradient(90deg, hsl(68,81%,84%),hsl(68,81%,84%)); background-size: 22px 22px;</p><p> "></p><p> </p><p> <span style="text-align: center; border-bottom:2px double #460eff; color: #460effff; ">Solution To Your Question &#x2193;</span> </p><p> </p><p> <p style="color: black;</p><p> text-shadow:0px 0px 10px rgb(215,240,204);</p><p> text-align: center;</p><p> font-weight: 500; "></p><p> </p><p> </p><p>a) (x-2y)^3 = x³ - 4x²y + 4xy² - 8y³</p><p></p><p> </p><p></p><p>b) (x-2y+1)^2 = x² - 4y² + 1 - 4xy - 4y + 2x</p><p></p><p> </p><p> &#128513; Hope You Liked It &#128513;</p><p> </p></p><p> </p><p> </p><p> <marquee style="color:#000;"> <b>Mark Me as the brainliest and Follow Me &#128151;</p><p> </p><p> </b></marquee></p><p> </p><p> </p><p> </p><p> </div></p><p> </p><p> </p><p>$

Answer 2

Answer:

a) x³ - 8y³ - 6x²y + 12xy²  

b) x² + 4y² + 1 - 4xy - 4y +2x.

Step-by-step explanation:

a) (x - 2y)³

x³ - (2y)³ - 6xy (x - 2y)           # [(a - b)³ = a³ - b³ - 3ab (a-b)]

x³ - 8y³ - 6x²y + 12xy².

b) (x - 2y + 1)²

= (x - 2y + 1) (x - 2y + 1)

= x² - 2xy + x - 2yx + 4y² - 2y + x - 2y + 1

= x² - 4xy + 2x + 4y² - 4y + 1

= x² + 4y² + 1 - 4xy - 4y +2x.