factorise each of the following ( 1 to 21 ) 16(x +3y)² - 25(x - 3y)².
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Answer:
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Answer:
-9X^2 + 294xy - 81y^2
Step-by-step explanation:
16(x +3y)²
= 16(x + 3y)(x + 3y)
= 16 ( x^2 + 3XY + 3XY + 9y^2)
= 16x^2 + 144XY + 144y^2
25(x - 3y)²
= 25 (x - 3y)(x - 3y)
= 25 ( x^2 - 3XY - 3XY + 9y^2)
= 25x^2 - 150XY + 225y^2
Final answer
= (16x^2 + 144XY + 144y^2 ) - (25x^2 - 150XY + 225y^2)
= -9X^2 + 294xy - 81y^2
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