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? asked in Science & MathematicsMathematics · 1 decade ago

i need maths help pleaseee?

1. expand then simplify:

4(z - a) (z - 2a) - 2(2z + a) (z + 2a)

2. what does factorise FULLY or simplify FULLY mean?

3. factorise fully

8a^2 - 2a^2 z^4

4. simplify fully

4a^2 b - 8a b^2

______________

4a b^2 - 8a^2 b

thankyou

3 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    1. expand then simplify:

    4(z - a)(z - 2a) - 2(2z + a)(z + 2a)

    =4(z^2-3az+2a^2)-2(2z^2+5az+2a^2)

    =4z^2-12az+8a^2-4z^2-10az-4a^2

    =-22az+4a^2 answer//

    2. means you factor it until the polynomial is unfactorable.

    3. factorise fully

    8a^2 - 2a^2 z^4

    =2a^2(4-z^4)

    =2a^2(2+z^2)(2-z^2) answer//

    4. simplify fully

    4a^2 b - 8a b^2

    ______________

    4a b^2 - 8a^2 b

    ..4ab(a-2b)

    =------------------

    ..4ab(b-2a)

    ...a-2b

    =------- answer//

    ...b-2a

  • 1 decade ago

    2. fully factorise is split into as many terms as possible i.e (x+a)(x+b)(x+c) and simplify fully collect all the terms and factorise if neccessary/possible

    3. 2a^2(4-z^4)

    4. 4ab(a-2b)

    ________

    4ab(b-2a)

    4ab cancel each other so answer is

    a-2b

    ____

    b-2a

  • Luigi
    Lv 4
    1 decade ago

    1. 4(z² - 3az + 2a²) - 2(2z² + 5az + 2a²)

    4z² - 12az + 8a² - 4z² - 10az - 4a²

    -22az + 4a²

    2a(2a - 11z)

    ========

    4. [4ab(a - 2b)] / [4ab(b - 2a)]

    (a - 2b)/(b - 2a)

    ==========

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