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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
- Engr. RonaldLv 71 decade agoFavorite 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
- LuigiLv 41 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)
==========