Factorise $a^2b^4 - ab^2. Answer ... Expand and simplify $(3x + 2)^2 + 4x(2 - x). Answer ...

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Worked solution

1. Identify and extract the common factor from both terms.

$a^2b^4-ab^2=ab^2(ab^2-1)$

Answer

$ab^2(ab^2-1)$

1. Expand the squared binomial.

$(3x+2)^2=(3x)^2+2(3x)(2)+2^2=9x^2+12x+4$

2. Expand the product $4x(2-x)$.

$4x(2-x)=8x-4x^2$

3. Combine the expanded expressions and collect like terms.

$(3x+2)^2+4x(2-x)=9x^2+12x+4+8x-4x^2$
$=5x^2+20x+4$

Answer

$5x^2+20x+4$

AI analysis — may contain mistakes.

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