Simplify 5-3(a−2)−(a+1), Factorise completely 5x2-45x, Simplify 8x−4-3(2x−3), Factorise completely…

Question

Simplify 5-3(a−2)−(a+1), Factorise completely 5x2-45x, Simplify 8x−4-3(2x−3), Factorise completely pq-3p-q2+3q

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the remaining problems from the image:

Simplify $8x - 4 - 3(2x - 3)$

Distribute the $-3$ into the parenthesis.
$8x - 4 - 3(2x - 3) = 8x - 4 - 6x + 9$
Combine like terms.
$8x - 6x - 4 + 9 = (8x - 6x) + (-4 + 9)$ $= 2x + 5$
The simplified expression is $\boxed{2x + 5}$ .

Factorise completely $pq - 3p - q^2 + 3q$
Group terms with common factors.
$pq - 3p - q^2 + 3q = (pq - 3p) + (-q^2 + 3q)$
Factor out the common factor from each group.
$p(q - 3) - q(q - 3)$
Factor out the common binomial factor $(q - 3)$ .
$(q - 3)(p - q)$
The completely factorised expression is $\boxed{(q - 3)(p - q)}$ .

Simplify 5-3(a-2)-(a+1), Factorise completely 5x2-45x, Simplify 8x-4-3(2x-3), Factorise completely pq-3p-q2+3q