factorise (4b-3c) ^2 - (3b+2c) ^2
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Answer:
7b^2-36bc+5c^2
Step-by-step explanation:
(4b-3c) ^2 - (3b+2c) ^2
Using identity:(a-b)^2=a^2-2ab+b^2
:(a+b)^2=a^2+2ab+b^2
= [(4b)^2-2×4b×3c+(3c)^2]-[(3b)^2+2×3b×2c+(2c)^2]
= (16b^2-24bc+9c^2)-(9b^2+12bc+4c^2)
= 16b^2-24bc+9c^2-9b^2-12bc-4c^2
= 7b^2-36bc+5c^2
Hope it's help u!!
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