Question

Triển khai các biểu thức sau theo hằng đẵng thức

4x²- 9

9 - 25x²

4x² - 25

9x^{2 -} - 36

Answer 1

\(4x^2-9=\left(2x-3\right)\left(2x+3\right)\)

\(9-25x^2=\left(3-5x\right)\left(3+5x\right)\)

\(4x^2-25=\left(2x-5\right)\left(2x+5\right)\)

\(9x^2-36=9\left(x^2-4\right)=9\left(x-2\right)\left(x+2\right)\)

Answer 2

\(=\left(2x-3\right)\left(2x+3\right)\\ =\left(3-5x\right)\left(3+5x\right)\\ =\left(2x-5\right)\left(2x+5\right)\\ =\left(3x-6\right)\left(3x+6\right)\)

Answer 3

\(4x^2-9=2^2x^2-3^2=\left(2x-3\right)\left(2x+3\right)\)

\(9-25x^2=3^2-5^2x^2=\left(3-5x\right)\left(3+5x\right)\)

\(4x^2-25=2^2x^2-5^2=\left(2x-5\right)\left(2x+5\right)\)

\(9x^2-36=3^2x^2-6^2=\left(3x-6\right)\left(3x+6\right)\)