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Problem 96

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (2-3 n)^{2} $$

Problem 97

For Problems \(88-97\), find each of the indicated products. Assume that the variables in the exponents represent positive integers; for example, $$ \left(x^{2 n}\right)\left(x^{4 n}\right)=x^{2 n+4 n}=x^{6 n} $$ $$ \left(-3 x^{5 n-2}\right)\left(-4 x^{2 n+2}\right) $$

Problem 97

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (5.21)\left(10^{4}\right) $$

Problem 97

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (3 x+4 y)^{2} $$

Problem 98

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (7.2)\left(10^{3}\right) $$

Problem 98

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (2 x+5 y)^{2} $$

Problem 99

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (3+4 y)^{2} $$

Problem 99

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (1.14)\left(10^{7}\right) $$

Problem 100

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (5.64)\left(10^{8}\right) $$

Problem 100

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (7+6 y)^{2} $$

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