factorise 16(5x+4)^2 - 9(3x-2)^2
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Step-by-step explanation:
16(5x+4)^2-9(3x-2)^2
16-9[(5x+4)^2-(3x-2)^2]
7[5x×5x+4×4]-[3x×3x-2×2]
7[25x²+16]-[9x²-4]
7[25x²+16-9x²-4]
7[16x²+12]
7×16x²+12×7
112x²+84
196x²
196x²={ [14x]²}²
=[14x]²+²
=[14x]^4
=14x×14x×14x×14x=12606x^4
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