5. expand and simplify.\na) ( 2(x - 7)(2x + 1) )\n5b) ( (x + 3)(x + 6)-2(x + 1) )\nc) ( -(x - 4)(x - 1)+5(3x…

5. expand and simplify.\na) ( 2(x - 7)(2x + 1) )\n5b) ( (x + 3)(x + 6)-2(x + 1) )\nc) ( -(x - 4)(x - 1)+5(3x - 1)(2x + 1) )\nd) ( (m - 2)^2-(3m + 2)^2 )\ne) ( -(m + 7)(m - 1)+4(2m + 1)(3m - 4) )\nf) ( -6(2x + 1)(6x + 1)+3(4x - 3)^2 )

5. expand and simplify.\na) ( 2(x - 7)(2x + 1) )\n5b) ( (x + 3)(x + 6)-2(x + 1) )\nc) ( -(x - 4)(x - 1)+5(3x - 1)(2x + 1) )\nd) ( (m - 2)^2-(3m + 2)^2 )\ne) ( -(m + 7)(m - 1)+4(2m + 1)(3m - 4) )\nf) ( -6(2x + 1)(6x + 1)+3(4x - 3)^2 )

Answer

Explanation:

Step1: Expand ((x - 7)(2x + 1)) using FOIL method

[ \begin{align*} (x-7)(2x + 1)&=x\times(2x)+x\times1-7\times(2x)-7\times1\ &=2x^{2}+x - 14x-7\ &=2x^{2}-13x - 7 \end{align*} ]

Step2: Multiply the result by 2

[ \begin{align*} 2(2x^{2}-13x - 7)&=2\times2x^{2}-2\times13x-2\times7\ &=4x^{2}-26x - 14 \end{align*} ]

Answer:

(4x^{2}-26x - 14)