выраэсения: \( (x-3)^{2}-(x-7)(x+1) \) при \( x=1,5 \)

Substitute \( x=1.5 \) into the expression \( (x-3)^{2}-(x-7)(x+1) \). Evaluate the expression by following steps: - step0: Evaluate: \(\left(x-3\right)^{2}-\left(x-7\right)\left(x+1\right)\) - step1: Substitute: \(\left(1.5-3\right)^{2}-\left(1.5-7\right)\left(1.5+1\right)\) - step2: Subtract the numbers: \(\left(-1.5\right)^{2}-\left(1.5-7\right)\left(1.5+1\right)\) - step3: Subtract the numbers: \(\left(-1.5\right)^{2}-\left(-5.5\right)\left(1.5+1\right)\) - step4: Remove the parentheses: \(\left(-1.5\right)^{2}-\left(-5.5\left(1.5+1\right)\right)\) - step5: Add the numbers: \(\left(-1.5\right)^{2}-\left(-5.5\times 2.5\right)\) - step6: Convert the expressions: \(\left(-\frac{3}{2}\right)^{2}-\left(-5.5\times 2.5\right)\) - step7: Multiply the numbers: \(\left(-\frac{3}{2}\right)^{2}-\left(-13.75\right)\) - step8: Rewrite the expression: \(\frac{3^{2}}{2^{2}}-\left(-13.75\right)\) - step9: Remove the parentheses: \(\frac{3^{2}}{2^{2}}+13.75\) - step10: Evaluate the power: \(\frac{9}{4}+13.75\) - step11: Convert the expressions: \(\frac{9}{4}+\frac{55}{4}\) - step12: Transform the expression: \(\frac{9+55}{4}\) - step13: Add the numbers: \(\frac{64}{4}\) - step14: Divide the terms: \(16\) При \( x=1.5 \) выражение \( (x-3)^{2}-(x-7)(x+1) \) равно 16.