Question

4. Factorise the following:
(i) 4x^2 + 12x +9
(ii) 25a^4 -40a^2 +16
(iii) 49b^2 +84bd +36d^2
(iv) x^4 +16y^4-8x^2y^2
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Answer 1

$i) \: \: {4x}^{2} +12x+9 \\ </p><p></p><p>=(2x+3)(2x+3)\\ \\</p><p></p><p>ii) \:25a^4 -40a^2 +16\\</p><p>=(5a^2-4)(5a^2-4)\\ \\</p><p>iii)\:49b^2 +84bd +36d^2\\</p><p></p><p>=(7b+6d)(7b+6d)\\ \\ </p><p>iv)\:x^4 +16y^4-8x^2y^2 \\ </p><p></p><p>x^4-8x^2y^2+16y^4\\</p><p></p><p>=(x+2y)(x-2y)(x+2y)(x-2y)</p><p></p><p></p><p></p><p></p><p>$

Answer 2

Answer:

)4x

2

+12x+9

=(2x+3)(2x+3)

ii)25a

4

−40a

2

+16

=(5a

2

−4)(5a

2

−4)

iii)49b

2

+84bd+36d

2

=(7b+6d)(7b+6d)

iv)x

4

+16y

4

−8x

2

y

2

x

4

−8x

2

y

2

+16y

4

=(x+2y)(x−2y)(x+2y)(x−2y)

i hopw it will help u