Question:
Factorise:
$\frac{3}{2} x^{2}+16 x+10$
Solution:
$\frac{3}{2} x^{2}+16 x+10=\frac{3}{2} x^{2}+15 x+x+10$
$=3 x\left(\frac{1}{2} x+5\right)+1(x+10)$
$=\frac{3}{2} x(x+10)+1(x+10)$
$=(x+10)\left(\frac{3}{2} x+1\right)$
Hence, factorisation of $\frac{3}{2} x^{2}+16 x+10$ is $(x+10)\left(\frac{3}{2} x+1\right)$
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