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Binomial Expressions

Grade

11

Term

1

  1. Write the expansion of (a+b)3.

  2. Expand (x+4)3.

  3. Expand (y−2)3.

  4. Expand (2m+3)3.

  5. Expand (3a−1)3.

  6. Write the expansion of (−p+5)3.

  7. Write the expansion of (−2x−3y)3.

  8. Find the value of 1023 by writing it as a cube of a binomial expression.

  9. Find the value of 983 by writing it as a cube of a binomial expression.

  10. Write p3−6p2+12p−8 as a cube of a binomial expression.

  11. Write 125+150x+60x2+8x3 as a cube of a binomial expression.

  12. The side length of a cube is (a+5) cm. Write an expression for its volume and expand it.

  13. If (x+2)3=x3+Px2+Qx+8, find the values of P and Q.

  14. Simplify: (a+1)3−(a−1)3.

  15. Find the value of 253−3×252×22+3×25×222−223 by writing the expression as a cube of a binomial.

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