Yifocmumb boypamernie: 1) \( 8 x^{3} y^{4} \cdot\left(-5 x^{2} y^{5}\right)^{3} \) 2) \( \left(3 a^{2}+10 a-9\right)-\left(a^{2}+2 a-8\right) \) 3) \( (5 a-7)+\left(-3 a^{2}-7 a-12\right) \) 4) \( (7-b)^{2}-33 \) 5) \( x(x+7)-(x-6)^{2} \)

Simplify the expression by following steps: - step0: Subtract the terms: \(\left(7-b\right)^{2}-33\) - step1: Expand the expression: \(49-14b+b^{2}-33\) - step2: Subtract the numbers: \(16-14b+b^{2}\) Expand the expression \( 8 x^{3} y^{4} \cdot\left(-5 x^{2} y^{5}\right)^{3} \) Simplify the expression by following steps: - step0: Multiply the terms: \(8x^{3}y^{4}\left(-5x^{2}y^{5}\right)^{3}\) - step1: Rewrite the expression: \(8x^{3}y^{4}\left(-125x^{6}y^{15}\right)\) - step2: Multiply the numbers: \(-1000x^{3}y^{4}x^{6}y^{15}\) - step3: Multiply the terms: \(-1000x^{9}y^{4}\times y^{15}\) - step4: Multiply the terms: \(-1000x^{9}y^{19}\) Expand the expression \( (5 a-7)+\left(-3 a^{2}-7 a-12\right) \) Simplify the expression by following steps: - step0: Simplify: \(\left(5a-7\right)+\left(-3a^{2}-7a-12\right)\) - step1: Remove the parentheses: \(5a-7-3a^{2}-7a-12\) - step2: Subtract the terms: \(-2a-19-3a^{2}\) Expand the expression \( x(x+7)-(x-6)^{2} \) Simplify the expression by following steps: - step0: Subtract the terms: \(x\left(x+7\right)-\left(x-6\right)^{2}\) - step1: Expand the expression: \(x^{2}+7x-\left(x-6\right)^{2}\) - step2: Expand the expression: \(x^{2}+7x-x^{2}+12x-36\) - step3: Collect like terms: \(19x-36\) Expand the expression \( \left(3 a^{2}+10 a-9\right)-\left(a^{2}+2 a-8\right) \) Simplify the expression by following steps: - step0: Simplify: \(\left(3a^{2}+10a-9\right)-\left(a^{2}+2a-8\right)\) - step1: Remove the parentheses: \(3a^{2}+10a-9-\left(a^{2}+2a-8\right)\) - step2: Remove the parentheses: \(3a^{2}+10a-9-a^{2}-2a+8\) - step3: Subtract the terms: \(2a^{2}+8a-1\) Вот решения для каждого из выражений: 1) Для выражения \( 8 x^{3} y^{4} \cdot\left(-5 x^{2} y^{5}\right)^{3} \): \[ 8 x^{3} y^{4} \cdot\left(-5 x^{2} y^{5}\right)^{3} = -1000x^{9}y^{19} \] 2) Для выражения \( \left(3 a^{2}+10 a-9\right)-\left(a^{2}+2 a-8\right) \): \[ \left(3 a^{2}+10 a-9\right)-\left(a^{2}+2 a-8\right) = 2a^{2}+8a-1 \] 3) Для выражения \( (5 a-7)+\left(-3 a^{2}-7 a-12\right) \): \[ (5 a-7)+\left(-3 a^{2}-7 a-12\right) = -3a^{2}-2a-19 \] 4) Для выражения \( (7-b)^{2}-33 \): \[ (7-b)^{2}-33 = 16-14b+b^{2} \] 5) Для выражения \( x(x+7)-(x-6)^{2} \): \[ x(x+7)-(x-6)^{2} = 19x-36 \] Если у вас есть дополнительные вопросы или нужно что-то еще, дайте знать!