Question

Kerjakan nomor 5-7
5) (2x-2) ^3
6) (2a-b) ^4
7) (2p-3y)^4

Answer 1

5. (2x-2)³
=(2x)³ -3×(2a)³×2+3×2a×2²-2³
=8x³-3×4x²×2+3×2a×4-8
= 8x³-24x²+24a-8

6. (2a-b)⁴
= (2a-b)²+²
= (2a-b)²×(2a-b)²
= (4a²-4ax+x²)×(4a²-4ax+x²)
= 16a⁴-16a³-4a²x²-16a³x+16a²x²-4ax³+4a²x²-4ax³+x⁴
= 16a⁴-32a³x+24a²x²-8ax³+x⁴

7. (2p-3y)⁴
= (2p-3y)²+²
= (2p-3y)²×(2p-3y)²
= (4p²-12y+9y²)×(4p²-12y+9y²)
= 16p⁴-48p³y+36p²y²-48p³y+144p²y²-108py³+36p²y²-108py³+81y⁴
= 16p⁴-96p³y+216p²y²-216py³+81y⁴


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