Mipango

Mifano ya hisabati iliyotatuliwa

Kufungua mabano: mifano iliyotatuliwa

Mifano iliyotatuliwa ya Kufungua mabano, kuanzia rahisi hadi ngumu, kila hatua ikiwa imeandikwa. Jaribu kila mmoja mwenyewe kwanza, kisha linganisha na suluhisho.

✓ Kila jibu hapa limekokotolewa na kukaguliwa na injini ya hisabati

Rahisi

  1. Mfano 1. Fungua na rahisisha 2(x−4)2(x - 4).

    1. Zidisha kila kipengele kwa namba iliyo nje.
      2(x−4)=2x−82(x - 4) = 2x - 8

    Jibu: 2x−82x - 8

  2. Mfano 2. Fungua na rahisisha −9(x−4)-9(x - 4).

    1. Zidisha kila kipengele kwa namba iliyo nje.
      −9(x−4)=−9x+36-9(x - 4) = -9x + 36

    Jibu: −9x+36-9x + 36

  3. Mfano 3. Fungua na rahisisha 6(x+8)6(x + 8).

    1. Zidisha kila kipengele kwa namba iliyo nje.
      6(x+8)=6x+486(x + 8) = 6x + 48

    Jibu: 6x+486x + 48

Wastani

  1. Mfano 4. Fungua na rahisisha (x+1)(x−4)(x + 1)(x - 4).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (x+1)(x−4)=x2−3x−4(x + 1)(x - 4) = x^{2} - 3x - 4

    Jibu: x2−3x−4x^{2} - 3x - 4

  2. Mfano 5. Fungua na rahisisha (x−9)(x−4)(x - 9)(x - 4).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (x−9)(x−4)=x2−13x+36(x - 9)(x - 4) = x^{2} - 13x + 36

    Jibu: x2−13x+36x^{2} - 13x + 36

  3. Mfano 6. Fungua na rahisisha (x+5)(x+8)(x + 5)(x + 8).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (x+5)(x+8)=x2+13x+40(x + 5)(x + 8) = x^{2} + 13x + 40

    Jibu: x2+13x+40x^{2} + 13x + 40

Ngumu

  1. Mfano 7. Fungua na rahisisha (3x+1)(4x+8)(3x + 1)(4x + 8).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (3x+1)(4x+8)=12x2+28x+8(3x + 1)(4x + 8) = 12x^{2} + 28x + 8

    Jibu: 12x2+28x+812x^{2} + 28x + 8

  2. Mfano 8. Fungua na rahisisha (3x−9)(5x−7)(3x - 9)(5x - 7).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (3x−9)(5x−7)=15x2−66x+63(3x - 9)(5x - 7) = 15x^{2} - 66x + 63

    Jibu: 15x2−66x+6315x^{2} - 66x + 63

  3. Mfano 9. Fungua na rahisisha (−3x+5)(5x−9)(-3x + 5)(5x - 9).

    1. Zidisha kila jozi ya vipengele, kisha kusanya vipengele vinavyofanana.
      (−3x+5)(5x−9)=−15x2+52x−45(-3x + 5)(5x - 9) = -15x^{2} + 52x - 45

    Jibu: −15x2+52x−45-15x^{2} + 52x - 45

Zamu yako

Fanya mazoezi kwa maswali mapya ya aina hiyo hiyo. Utapata vidokezo, suluhisho kamili na kusahihisha papo hapo.

Fanya mazoezi ya mada hiiSoma somo