Worksheet: Squaring Binomials

In this worksheet, we will practice expanding the square of the difference or sum of two monomials.

Q1:

Expand (𝑚+4).

  • A 2 𝑚 + 8 𝑚 + 1 6
  • B 𝑚 + 8 𝑚 + 1 6
  • C 𝑚 + 8 𝑚 + 8
  • D 𝑚 + 4 𝑚 + 1 6
  • E 𝑚 + 4 𝑚 + 8

Q2:

Expand (2𝑥+5).

  • A 4 𝑥 + 1 0 𝑥 + 2 5
  • B 4 𝑥 + 1 0 𝑥 + 1 0
  • C 4 𝑥 + 2 0 𝑥 + 1 0
  • D 4 𝑥 2 0 𝑥 + 2 5
  • E 4 𝑥 + 2 0 𝑥 + 2 5

Q3:

Expand (3𝑥+4).

  • A 9 𝑥 2 4 𝑥 + 1 6
  • B 9 𝑥 + 2 4 𝑥 + 1 6
  • C 9 𝑥 2 4 𝑥 1 6
  • D 9 𝑥 + 2 4 𝑥 1 6
  • E 9 𝑥 + 1 6

Q4:

Expand (𝑚4).

  • A 𝑚 8 𝑚 + 1 6
  • B 𝑚 + 4 𝑚 + 1 6
  • C 𝑚 + 8 𝑚 + 1 6
  • D 𝑚 8 𝑚 + 8
  • E 𝑚 4 𝑚 + 1 6

Q5:

Expand (𝑥+2𝑦).

  • A 𝑥 4 𝑥 𝑦 + 4 𝑦
  • B 𝑥 + 4 𝑥 𝑦 + 4 𝑦
  • C 𝑥 + 4 𝑦
  • D 𝑥 4 𝑥 𝑦 4 𝑦
  • E 𝑥 2 𝑥 𝑦 + 4 𝑦

Q6:

Expand 4𝑥+32𝑦.

  • A 1 6 𝑥 + 9 4 𝑦
  • B 1 6 𝑥 + 6 𝑥 𝑦 + 9 4 𝑦
  • C 1 6 𝑥 + 1 2 𝑥 𝑦 + 9 4 𝑦
  • D 1 6 𝑥 + 1 2 𝑥 𝑦 + 9 4 𝑦
  • E 1 6 𝑥 1 2 𝑥 𝑦 + 9 4 𝑦

Q7:

Expand the brackets and simplify (8𝑥2𝑦)(8𝑥+2𝑦).

  • A 1 2 8 𝑥 + 8 𝑦
  • B 3 2 𝑥 𝑦
  • C 6 4 𝑥 8 𝑦
  • D 6 4 𝑥 𝑦

Q8:

Expand and simplify (𝑥+2)(𝑥+2).

  • A 𝑥 4 𝑥 + 4
  • B 𝑥 + 4
  • C 𝑥 + 4 𝑥 + 4
  • D 𝑥 + 4
  • E 𝑥 + 4 𝑥 4

Q9:

Expand (𝑚4).

  • A 𝑚 + 8 𝑚 + 1 6
  • B 𝑚 + 4 𝑚 + 1 6
  • C 𝑚 8 𝑚 + 1 6
  • D 𝑚 4 𝑚 + 1 6
  • E 𝑚 8 𝑚 + 8

Q10:

Expand (2𝑥+5).

  • A 4 𝑥 + 2 0 𝑥 + 2 5
  • B 4 𝑥 + 1 0 𝑥 + 2 5
  • C 4 𝑥 + 2 0 𝑥 + 1 0
  • D 4 𝑥 2 0 𝑥 + 2 5
  • E 4 𝑥 + 1 0 𝑥 + 1 0

Q11:

Expand (𝑚+4).

  • A 2 𝑚 + 8 𝑚 + 1 6
  • B 𝑚 + 4 𝑚 + 1 6
  • C 𝑚 + 8 𝑚 + 1 6
  • D 𝑚 + 4 𝑚 + 8
  • E 𝑚 + 8 𝑚 + 8

Q12:

If (𝑥+𝑦)=100 and 𝑥𝑦=20, what is the value of 𝑥+𝑦?

Q13:

Given that 𝑥+𝑦=77 and 𝑥𝑦=14, what are the possible values of 𝑥𝑦?

  • A9
  • B 9 , 9
  • C7
  • D 3 1 , 3 1
  • E 7 , 7

Q14:

If 𝑥+𝑦=93 and 𝑥𝑦=6, what is the value of (𝑥𝑦)?

Q15:

If 𝑥+9𝑦=15 and 𝑥𝑦=2, what is the value of (𝑥3𝑦)?

Q16:

Expand (𝑥4𝑦).

  • A 𝑥 + 8 𝑥 𝑦 + 1 6 𝑦
  • B 𝑥 8 𝑥 𝑦 + 1 6 𝑦
  • C 𝑥 + 1 6 𝑦
  • D 𝑥 + 8 𝑥 𝑦 1 6 𝑦
  • E 𝑥 + 4 𝑥 𝑦 + 1 6 𝑦

Q17:

Expand (4𝑥+6𝑦).

  • A 1 6 𝑥 + 4 8 𝑥 𝑦 + 3 6 𝑦
  • B 1 6 𝑥 4 8 𝑥 𝑦 + 3 6 𝑦
  • C 1 6 𝑥 + 3 6 𝑦
  • D 1 6 𝑥 + 4 8 𝑥 𝑦 3 6 𝑦
  • E 1 6 𝑥 + 2 4 𝑥 𝑦 + 3 6 𝑦

Q18:

Expand (5𝑥+4𝑦).

  • A 2 5 𝑥 4 0 𝑥 𝑦 + 1 6 𝑦
  • B 2 5 𝑥 + 4 0 𝑥 𝑦 + 1 6 𝑦
  • C 2 5 𝑥 + 1 6 𝑦
  • D 2 5 𝑥 4 0 𝑥 𝑦 1 6 𝑦
  • E 2 5 𝑥 2 0 𝑥 𝑦 + 1 6 𝑦

Q19:

Expand 2𝑥+23𝑦.

  • A 4 𝑥 + 4 9 𝑦
  • B 4 𝑥 + 4 3 𝑥 𝑦 + 4 9 𝑦
  • C 4 𝑥 + 8 3 𝑥 𝑦 + 4 9 𝑦
  • D 4 𝑥 + 8 3 𝑥 𝑦 + 4 9 𝑦
  • E 4 𝑥 8 3 𝑥 𝑦 + 4 9 𝑦

Q20:

Expand 𝑥+23𝑦.

  • A 𝑥 + 4 9 𝑦
  • B 𝑥 + 2 3 𝑥 𝑦 + 4 9 𝑦
  • C 𝑥 + 4 3 𝑥 𝑦 + 4 9 𝑦
  • D 𝑥 + 4 3 𝑥 𝑦 + 4 9 𝑦
  • E 𝑥 4 3 𝑥 𝑦 + 4 9 𝑦

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