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Magazine Problem 79
Find the indicated products by using the shortcut pattern for multiplying binomials. $$ (-4 x+3)(-5 x-2) $$
Problem 79
For Problems \(31-84\), simplify each algebraic expression and express your answers using positive exponents only. $$ \left(\frac{x^{2}}{x^{3}}\right)^{-1} $$
Problem 80
For Problems \(31-84\), simplify each algebraic expression and express your answers using positive exponents only. $$ \left(\frac{x^{4}}{x}\right)^{-2} $$
Problem 80
Find the indicated products by using the shortcut pattern for multiplying binomials. $$ (-2 x+7)(-7 x-3) $$
Problem 80
For Problems \(71-80\), perform the indicated operations and simplify. $$ (-3 x y)^{3}\left(-x^{2} y^{3}\right)^{4} $$
Problem 81
For Problems \(31-84\), simplify each algebraic expression and express your answers using positive exponents only. $$ \left(\frac{2 x^{-1}}{x^{-2}}\right)^{-3} $$
Problem 82
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. $$ (x+3)^{2} $$
Problem 82
For Problems \(31-84\), simplify each algebraic expression and express your answers using positive exponents only. $$ \left(\frac{3 x^{-2}}{x^{-5}}\right)^{-1} $$
Problem 83
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. $$ (x+7)^{2} $$
Problem 84
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. $$ (x+9)^{2} $$
