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Answer Key 7.3

  1. 9×8=72
    9+8=17
    p2+9p+8p+72
    p(p+9)+8(p+9)
    (p+9)(p+8)
  2. 9×8=72
    9+8=1
    x2+9x8x72
    x(x+9)8(x+9)
    (x+9)(x8)
  3. 8×1=8
    8+1=9
    n2n8n+8
    n(n1)8(n1)
    (n1)(n8)
  4. 6×5=30
    6+5=1
    x2+6x5x30
    x(x+6)5(x+6)
    (x+6)(x5)
  5. 10×1=10
    10+1=9
    x210x+x10
    x(x10)+1(x10)
    (x10)(x+1)
  6. 8×5=40
    8+5=13
    x2+8x+5x+40
    x(x+8)+5(x+8)
    (x+8)(x+5)
  7. 4×8=32
    4+8=12
    b2+4b+8b+32
    b(b+4)+8(b+4)
    (b+4)(b+8)
  8. 7×10=70
    7+10=17
    b27b10b+70
    b(b7)10(b7)
    (b7)(b10)
  9. 3×5=15
    3+5=8
    u23uv5uv+15v2
    u(u3v)5v(u3v)
    (u3v)(u5v)
  10. 8×5=40
    8+5=3
    m28mn+5mn40n2
    m(m8n)+5n(m8n)
    (m8n)(m+5n)
  11. 4×2=8
    4+2=2
    m2+4mn2mn8n2
    m(m+4n)2n(m+4n)
    (m+4n)(m2n)
  12. 8×2=16
    8+2=10
    x2+8xy+2xy+16y2
    x(x+8y)+2y(x+8y)
    (x+8y)(x+2y)
  13. 9×2=18
    9+2=11
    x29xy2xy+18y2
    x(x9y)2y(x9y)
    (x9y)(x2y)
  14. 2×7=14
    2+7=9
    u22uv7uv+14v2
    u(u2v)7v(u2v)
    (u2v)(u7v)
  15. 4×3=12
    4+3=1
    x2+4xy3xy12y2
    x(x+4y)3y(x+4y)
    (x+4y)(x3y)
  16. 5×9=45
    5+9=14
    x2+5xy+9xy+45y2
    x(x+5y)+9y(x+5y)
    (x+5y)(x+9y)

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