Question

please do this questions its for 100 point will chose brainiest do in full please

Answer 1

Answer:

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Step-by-step explanation:

(e) (x-8)(x-9)

     Multiplying two binomials.

    x(x-9)-8(x-9)

    x² -9x - 8x + 72

    x² - 17x + 72

(f) 6x⁴ - 12x

   Common factoring.

   6x(x³ - 2)

(g) x² + 8x + 12

     Factoring trinomial of the form ax² + bx + c.

    x² +2x + 6x + 12

    x(x + 2) + 6(x + 2)

    (x + 2) (x + 6)

(h) (x + 7)(x + 5)

     Multiplying two binomials.

    x(x + 5)+7(x + 5)

     x² + 5x + 7x + 35

    x² + 12x + 35

(i) x² - 36

    Difference of two squares.

   a² - b² = (a + b)(a - b)

    x² - 6²

   a = x,    b = 6

    (x + 6)(x - 6)

Answer 2

Answer:

e) x^2-17x+72  ......  multiply two binomials

f)  6x(x^3-2)   ......... common  factoring

g) (x+6)(x+2)    .............factor a trinomial

h) x^2+12x+35 ......  multiply two binomials

i)  (x+6)(x-6)  ................difference of squares

Step-by-step explanation:

e)

(x-8)(x-9)

=x(x-9)-8(x-9)

=x^2-9x-8x+72

=x^2-17x+72  ......  multiply two binomials

f)

6x^4-12x

= 6(x^4 - 2x)

= 6x(x^3-2)   ......... common  factoring

g)

x^2+8x+12

= x^2+2x +6x+12

= x(x+2) + 6(x+2)

= (x+6)(x+2)    .............factor a trinomial

h)

(x+7)(x+5)

=x^2+5x + 7x +35

= x^2+12x+35 ......  multiply two binomials

i)

x^2 - 36

= (x+6)(x-6)  ................difference of squares