EX-04 / AP02

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\[\begin{aligned} A(x) &= (x+2)(5x+3)& \\ &=x\cdot 5x + x\cdot 3 + 2\cdot 5x + 2\cdot 3& \\ &=5x^2 + 3x + 10x + 6& \\ &=5x^2 + 13x + 6.& \end{aligned}\] \[\begin{aligned} B(x) &= (4x+7)(x+2)& \\ &=4x\cdot x + 4x \cdot 2 + 7 \cdot x + 7\cdot 2& \\ &=4x^2 + 8x + 7x + 14& \\ &=4x^2 + 15x + 14.& \end{aligned}\] \[\begin{aligned} C(x) &=(7+3x)(2x+3)& \\ &=7\cdot 2x + 7\cdot 3 + 3x\cdot 2x + 3x\cdot 3& \\ &=14x + 21 + 6x^2 + 9x& \\ &=6x^2 + 23x + 21.& \end{aligned}\] \[\begin{aligned} D(t) &= (10-8t)(9+2t)& \\ &=10\cdot 9 + 10 \cdot 2t - 8t\cdot 9 -8t \cdot 2t& \\ &=90 + 20t - 72t - 16t^2& \\ &=-16t^2 -52t + 90.& \end{aligned}\]

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code : 2038