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In this lesson, we will learn how to multiply binomials with integer and fractional coefficients.
Q1:
Expand and simplify ( β 2 π₯ β 4 π¦ ) ( 2 π₯ β π¦ ) .
Q2:
Expand and simplify ( β π₯ + 4 π¦ ) ( β 2 π₯ + 5 π¦ ) .
Q3:
Expand and simplify ( 2 π₯ β π¦ ) ( β π₯ + 3 π¦ ) .
Q4:
Find π΄ π΅ given π΄ = 5 π₯ β 3 π₯ 3 and π΅ = β 6 π₯ + 3 π₯ 2 .
Q5:
Find π΄ π΅ given π΄ = 8 π₯ + 2 and π΅ = 5 π₯ β 1 .
Q6:
Simplify οΉ 3 π β 2 ο οΉ 2 π + 4 ο 3 2 .
Q7:
Expand the product ( π + 4 ) ( π + 6 ) .
Q8:
Expand the product ( π₯ β 4 ) ( π₯ β 6 ) .
Q9:
Expand the product ( π₯ + 4 ) ( π₯ + 6 ) .
Q10:
Expand and simplify ( π + 4 ) ( 5 β π ) .
Q11:
Use the distributive property to fully expand ( 2 π₯ + π¦ ) ( π₯ π¦ β 2 π§ ) .
Q12:
Expand and simplify ( 2 π β 3 ) ( 3 π + 5 ) .
Q13:
Given that π = β 8 π₯ , π = β 9 π₯ π¦ , and π = π₯ β π¦ , express π π π in terms of π₯ and π¦ .
Q14:
Expand and simplify ( 2 π β 2 ) ( 6 β π ) + 4 ( π β 5 ) .
Q15:
Expand the product ( 3 π β 2 ) ( π + 6 π ) .
Q16:
Expand and simplify 7 β ( 3 β π¦ ) ( π¦ + 2 ) .
Q17:
Simplify ( 8 π¦ + 3 ) ( 2 π¦ + 1 ) .
Q18:
Expand the product ( 2 π₯ + 1 ) ( 3 π₯ β 2 ) .
Q19:
Expand ( 2 π + 3 ) ( π + 4 ) .
Q20:
Expand the product ( π₯ + 6 ) ( π₯ β 4 ) .
Q21:
Expand and simplify ( β 2 π₯ + 3 ) ( β 2 π₯ β 4 ) .
Q22:
Expand and simplify ( π + 4 ) ( β 2 ) ( π + 8 ) .
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