Найди значение выражения \( (4-a)^{2}-a(a-26) \) при \( a=-3,42 \).

Подставим \( a=-3,42 \) в выражение \( (4-a)^{2}-a(a-26) \) и найдем значение. Evaluate the expression by following steps: - step0: Evaluate: \(\left(4-a\right)^{2}-a\left(a-26\right)\) - step1: Substitute: \(\left(4-\left(-3.42\right)\right)^{2}-\left(-3.42\left(-3.42-26\right)\right)\) - step2: Add the numbers: \(7.42^{2}-\left(-3.42\left(-3.42-26\right)\right)\) - step3: Subtract the numbers: \(7.42^{2}-\left(-3.42\left(-29.42\right)\right)\) - step4: Convert the expressions: \(\left(\frac{371}{50}\right)^{2}-\left(-3.42\left(-29.42\right)\right)\) - step5: Multiply the numbers: \(\left(\frac{371}{50}\right)^{2}-100.6164\) - step6: Rewrite the expression: \(\frac{371^{2}}{50^{2}}-100.6164\) - step7: Convert the expressions: \(\frac{371^{2}}{50^{2}}-\frac{251541}{2500}\) - step8: Rewrite the expression: \(\frac{371^{2}}{50^{2}}-\frac{251541}{50^{2}}\) - step9: Transform the expression: \(\frac{371^{2}-251541}{50^{2}}\) - step10: Simplify: \(\frac{371^{2}-251541}{2500}\) Значение выражения \( (4-a)^{2}-a(a-26) \) при \( a=-3,42 \) равно \( -45.56 \).