In this worksheet, we will practice factoring a perfect square trinomial expression.
Q1:
For which values of 𝑘 is 16𝑥+𝑘𝑥+81 a perfect square?
Q2:
Which of the following is a perfect square?
Q3:
Complete the quadratic expression 9𝑥+144 to make a perfect square.
Q4:
Factorize fully 𝑥−10𝑥𝑦+25𝑦.
Q5:
Factorize fully 81𝑚+18𝑚+1.
Q6:
Factorize fully 64𝑦𝑥−64𝑦𝑥+16𝑦.
Q7:
Factorize fully 24𝑥𝑦+3𝑥+48𝑦.
Q8:
By factorizing or otherwise, evaluate (10.1)−4.2×10.1+(2.1).
Q9:
By factorizing or otherwise, evaluate (97)+6×97+9.
Q10:
Given that 𝑥+2𝑥𝑦+𝑦=81, what are the possible values of 𝑥+𝑦?
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