Expansion of polynomial

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$-4(5x - 3) ^2$

As for this one, factorise : $5(y^2 - 45) $

Can't it just be $5(y^2 - 9)$? Why is it $5 (y+3) (y-3)$

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Hint Use the formulas

  • $(a-b)^2 = a^2-2ab+b^2$

  • $(a+b)^2 = a^2+2ab+b^2$

  • $a^2-b^2 = (a-b)(a+b)$

Example: $(4x+3)^2$, then $a=4x$ and $b=3$ so $(4x+3)^2=(a+b)^2=a^2+2ab+b^2=(4x)^2+2\cdot 4x\cdot 3 +3^2= 16x^2+24x+9$