Question 697440

1.

{{{4x^2+33x+35}}}....replace {{{33x}}} with {{{28x+5x}}}

{{{4x^2+28x+5x+35}}}...group

{{{(4x^2+28x)+(5x+35)}}}

{{{4x(x+7)+5(x+7)}}}

{{{(x+7)(4x+5)}}}

2.

{{{4x^2-25x-56}}}....replace {{{-25x}}} with {{{-32x+7x}}}

{{{4x^2-32x+7x-56}}}...group

{{{(4x^2-32x)+(7x-56)}}}

{{{4x(x-8)+7(x-8)}}}

{{{(x-8)(4x+7)}}}

3.

{{{6x^2-53x+40}}}....replace {{{-53x}}} with {{{-48x-5x}}}

{{{6x^2-48x-5x+40}}}...group

{{{(6x^2-48x)-(5x-40)}}}

{{{6x(x-8)-5(x-8)}}}

{{{(x-8)(6x-5)}}}

4.

{{{y^2-64}}}

{{{y^2-8^2}}}

{{{(y-8)(y+8)}}}


5.

{{{x^2+16x+64}}}

{{{x^2+2*8x+8^2}}}

{{{(x+8)^2}}}

{{{(x+8)(x+8)}}}

or, this way

{{{x^2+16x+64}}}....replace {{{16x}}} with {{{8x+8x}}}

{{{x^2+8x+8x+64}}}..group

{{{(x^2+8x)+(8x+64)}}}

{{{x(x+8)+8(x+8)}}}

{{{(x+8)(x+8)}}}