RoboguruRoboguru
SD
SMP
SMA
SBMPTN & UTBK

Diketahui P(x, y)=2x2−4x2y2−3xy+2y3 dan Q(x, y)=2x5+7x2y3. Tentukan P(x, y)×Q(x, y)!

Pertanyaan

Diketahui begin mathsize 14px style P open parentheses x comma space y close parentheses equals 2 x squared minus 4 x squared y squared minus 3 x y plus 2 y cubed end style dan begin mathsize 14px style Q open parentheses x comma space y close parentheses equals 2 x to the power of 5 plus 7 x squared y cubed end style. Tentukan begin mathsize 14px style P open parentheses x comma space y close parentheses cross times Q open parentheses x comma space y close parentheses end style!

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Dengan menerapkan sifat distributif perkalian, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell P open parentheses x comma space y close parentheses cross times Q open parentheses x comma space y close parentheses end cell row blank equals cell open parentheses 2 x squared minus 4 x squared y squared minus 3 x y plus 2 y cubed close parentheses times open parentheses 2 x to the power of 5 plus 7 x squared y cubed close parentheses end cell row blank equals cell 2 x squared times 2 x to the power of 5 plus 2 x squared times 7 x squared y cubed minus 4 x squared y squared times 2 x to the power of 5 end cell row blank blank cell negative 4 x squared y squared times 7 x squared y cubed minus 3 x y times 2 x to the power of 5 minus 3 x y times 7 x squared y cubed end cell row blank blank cell plus 2 y cubed times 2 x to the power of 5 plus 2 y cubed times 7 x squared y cubed end cell row blank equals cell 4 x to the power of 7 plus 14 x to the power of 4 y cubed minus 8 x to the power of 7 y squared minus 28 x to the power of 4 y to the power of 5 minus 6 x to the power of 6 y end cell row blank blank cell negative 21 x cubed y cubed plus 4 x to the power of 5 y cubed plus 14 x squared y to the power of 6 end cell row blank equals cell 14 x squared y to the power of 6 minus 21 x cubed y cubed plus 14 x to the power of 4 y cubed minus 28 x to the power of 4 y to the power of 5 end cell row blank blank cell plus 4 x to the power of 5 y cubed minus 6 x to the power of 6 y plus 4 x to the power of 7 minus 8 x to the power of 7 y squared end cell end table end style 

Jadi, hasil dari begin mathsize 14px style P open parentheses x comma space y close parentheses cross times Q open parentheses x comma space y close parentheses end style adalah 

begin mathsize 14px style 14 x squared y to the power of 6 minus 21 x cubed y cubed plus 14 x to the power of 4 y cubed minus 28 x to the power of 4 y to the power of 5 plus 4 x to the power of 5 y cubed minus 6 x to the power of 6 y plus 4 x to the power of 7 minus 8 x to the power of 7 y squared end style 

56

3.0 (1 rating)

Pertanyaan serupa

Sederhanakan hasil kali bentuk aljabar dari c. (2x−1)(x+2y−3)

136

5.0

Jawaban terverifikasi

Jabarkan dan sederhanakan bentuk-bentuk aljabar berikut! d. (4p+3)(16p2−12p+9)

36

0.0

Jawaban terverifikasi

Hasil dari (3x + 7)(2x - 5) = ...

889

0.0

Jawaban terverifikasi

Tentukan hasil kali dari bentuk aljabar berikut.. d. (3x−5y)x(3x+5y)= ...

48

0.0

Jawaban terverifikasi

Jabarkan dan sederhanakan bentuk-bentuk aljabar berikut! c. (6x2−5x)(2x2−9x)

61

0.0

Jawaban terverifikasi
Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Download di Google Play

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

  • Brain Academy Online
  • English AcademyBaru
  • Skill Academy
  • Ruangkerja

Bantuan & Panduan

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia