Simplify -9(5x+2y)-3(2x-y). Answer _ Factorise completely 6ap+9aq-12bq-8bp. Answer _

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Worked solution

1. Expand both brackets carefully, including the negative signs.

$-9(5x+2y)-3(2x-y) = -45x-18y-6x+3y$

2. Collect like terms to simplify the expression.

$-45x-6x-18y+3y = -51x-15y$

Answer

$-51x-15y$

1. Group terms to form a common bracket.

$6ap+9aq-12bq-8bp$

$=9aq+6ap-12bq-8bp$

$=3a(3q+2p)-4b(3q+2p)$

2. Factorise the common binomial completely.

$3a(3q+2p)-4b(3q+2p)$

$=(3q+2p)(3a-4b)$

Answer

$(3q-2p)(3a-4b)$

AI analysis — may contain mistakes.

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