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`(3-7a)(1+a)`Transcript

Time | Transcript |
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00:00 - 00:59 | hello everyone here the question is factorise 3 minus A into 4 + 7A now let's come to the solution for hair given expression is 3 - 8 into 4 + 7 is equal to 3 minus 1 minus A into 48 is 4A and minus A into 7 is minus of seven square and we can write it as - of 7 a square minus 4 Y + 3 now split the middle term in such a way that if we multiply that digit we get the multiple of first and the last digit and if we add or subtract the digit we get the middle term so we can write it as - of seven square - 7 x + 3 Y and |

01:00 - 01:59 | additive so hair - 7 a.m. to 3 is minus of 21 a square that is multiple of first and the third digit and hair when at this digit then here - 7 x + 3 is minus of ok so here take -78 common from the first two digit then -7 into 1 + 1 and from here we can take plus three common so it is a + 1 and we can write it as a plus one because we take common A plus one from the whole and into 3 - 7 and this is our answer thank you |

**Introduction of Factorisation**

**Factors **

**Factorization**

**Factors of a monomial**

**Common factors of two or more monomials**

**Greatest common factor (gcf) or highest common factor (hcf) The greatest common factors of given monomials is the common factor having a greatest coefficient and highest power of the variables.**

**Factorization of algebraic expressions when a common monomial factor occurs in each term**

**Factorizations of algebraic expressions when a binomial is a common factor**

**Grouping of the terms of an algebraic expression may lead to its factorization.**

**Factorize each of the following expressions : (i) `a^3 + a^2 (x-y) - a (y+z) - z` (ii) `(x^2+3x)^2 - 5 (x^2+3x) - y (x^2+3x) + 5y`**