What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume :- 12ax² + 8ax − 20a *
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here function of volume is in x & a
so, here Function v(a,x)=12 ax
2
+8 ax−20 a
v(a,x)=4 a(3x
2
)+4a(2x)+4a(−5)
=4x(3x
2
+2x−5)
=4a(3x
2
+5x−3x-5)
=4a[(x)(3x+5)+(−1)(3x+5)]
=(4a)(x−1)(3x+5)
so, the dimension of the cuboids will be 4a,x−1 & 3x+5
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