Answer:

(x - 4) (8x - 7)

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Verified answer

Answer:

[tex](x - 7)(5x - 4) + 3 {x}^{2}[/tex]

(i) Multiply (x -7 ) with (5x- 4)

[tex](x - 7)(5x - 4) + 3 {x}^{2} \\ = (5 {x}^{2} - 4x - 35x + 28 )+ 3 {x}^{2} \\ [/tex]

(ii) Simplify it

[tex] = (5 {x}^{2} - 4x - 35x + 28 )+ 3 {x}^{2} \\ = 5 {x}^{2} - 4x - 35x + 28 + 3 {x}^{2} \\ = 5 {x}^{2} + 3 {x}^{2} - 4x - 35x + 28 \\ = 8 {x}^{2} - 39x + 28 \\[/tex]

(iii) Find the factors and solve it

[tex] = 8 {x}^{2} - 39x + 28 \\ = 8 {x}^{2} - 32x - 7x + 28 \\ = 8x(x - 4) - 7(x - 4) \\ = \underline{ \underline{ (x - 4)(8x - 7)}}[/tex]