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In this lesson, we will learn how to factor algebraic expressions by identifying the highest common factor (HCF).

Q1:

Write 3 5 π₯ + 9 1 0 in the form 3 1 0 ( π π₯ + π ) .

Q2:

Factor 6 π₯ + 2 4 .

Q3:

Factor β 2 0 β 1 5 π₯ .

Q4:

Factor the expression 3 π π + π completely.

Q5:

Factor 2 π π + 8 π completely.

Q6:

Factor the expression 3 π οΉ π + 1 ο β π β 1 3 3 completely.

Q7:

Factor the expression 6 π + 3 π β 6 π π 2 completely.

Q8:

Write 2 3 π₯ + 1 6 in the form 1 6 ( π π₯ + π ) .

Q9:

Factor 1 5 π + 1 5 π completely.

Q10:

Factor 8 π₯ + 4 0 π¦ completely.

Q11:

Factor π₯ + 3 6 π₯ 3 completely.

Q12:

Factor the expression 4 π π + 2 π π completely.

Q13:

Factor the expression 2 ( π β 1 ) + π₯ ( π β 1 ) completely.

Q14:

Expand β 3 π₯ ( 4 π¦ β 7 π₯ ) .

Q15:

Expand 4 7 οΌ 3 4 + 8 9 π₯ ο .

Q16:

Which of the following expressions is equivalent to 2 ( 4 π₯ β 2 ) ?

Q17:

Expand β 7 ( 8 β 1 2 π₯ ) .

Q18:

Which of the following expressions is equivalent to 4 ( 3 π₯ + 2 ) ?

Q19:

Which of the following expressions is equivalent to β 1 1 ( 3 + 1 2 π₯ ) ?

Q20:

Which of the following expressions is equivalent to β 9 ( 5 β 6 π₯ ) ?

Q21:

Expand 1 0 ( 3 + 5 π ) .

Q22:

Expand 4 ( 3 + 9 π₯ ) .

Q23:

Expand β 1 1 ( 5 + 7 π₯ ) .

Q24:

Expand 2 3 οΌ 4 5 π₯ β 3 1 0 ο .

Q25:

Expand 1 2 ( 3 π₯ + 8 ) .

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